{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Partition based time series clustering in sktime\n",
    "\n",
    "Partition based clustering algorithms for time series are those where k\n",
    "clusters are created from n time series. Each time series inside a cluster\n",
    "are homogeneous (similar) to each other and heterogeneous (dissimilar) to\n",
    "those outside the cluster.\n",
    "\n",
    "To measure homogeneity and place a time series into a cluster, a metrics is\n",
    "used (normally a distance). This metric is used to compare a time\n",
    "series to k other time series that are representations of each cluster.\n",
    "These representations are derived using a statistical sampling technique\n",
    "from when the model was trained. The time series is then assigned to the\n",
    "cluster that is most similar (or has the best score based on the metric),\n",
    "and is said to be a part of that cluster.\n",
    "\n",
    "Currently, in Sktime there are 2 supported partition algorithms supported.\n",
    "They are: K-means and K-medoids. These will be demonstrated below\n",
    "\n",
    "## Imports"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "from sktime.clustering.k_means import TimeSeriesKMeans\n",
    "from sktime.clustering.k_medoids import TimeSeriesKMedoids\n",
    "from sktime.clustering.utils.plotting._plot_partitions import plot_cluster_algorithm\n",
    "from sktime.datasets import load_arrow_head"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Load data"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(158, 1) (158,) (53, 1) (53,)\n"
     ]
    }
   ],
   "source": [
    "X, y = load_arrow_head(return_X_y=True)\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y)\n",
    "print(X_train.shape, y_train.shape, X_test.shape, y_test.shape)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "## K-partition algorithms\n",
    "\n",
    "K-partition algorithms are those that seek to create k clusters and assign\n",
    "each time series to a cluster using a distance measure. In Sktime the\n",
    "following are currently supported:\n",
    "<li>K-means - one of the most well known clustering algorithms. The goal of\n",
    "the K-means algorithm is to minimise a criterion known as the inertia or\n",
    "within-cluster sum-of-squares (uses the mean of the values in a cluster as\n",
    "the center).</li>\n",
    "<li>K-medoids - A similar algorithm to K-means but instead of using the mean of\n",
    "each cluster to determine the center, the median series is used.\n",
    "<br><br>\n",
    "Algorithmically the common way to approach these k-partition algorithms is\n",
    "known as Lloyds algorithm. This is an iterative process that involves:\n",
    "<li>Initialisation</li>\n",
    "<li>Assignment</li>\n",
    "<li>Updating centroid</li>\n",
    "<li>Repeat assignment and updating until convergence</li>\n",
    "<br>\n",
    "\n",
    "### Center initialisation\n",
    "Center initialisation is the first step and has been found to be critical in\n",
    "obtaining good results. There are three main center initialisation that will\n",
    "now be outlined:\n",
    "<ul>\n",
    "    <li> K-means, K-medoids supported center initialisation:\n",
    "        <ul>\n",
    "            <li>Random - This is where each sample in the training dataset is\n",
    "            randomly assigned to a cluster and update centers is run based on\n",
    "            these random assignments i.e. for k-means the mean of these\n",
    "            randomly assigned clusters is used and for k-medoids the median of\n",
    "            these randomly assigned clusters is used as the initial center.</li>\n",
    "            <li>Forgy - This is where k random samples are chosen from the\n",
    "            training dataset</li>\n",
    "            <li>K-means++ - This is where the first center is randomly chosen\n",
    "            from the training dataset. Then for all the other time series in\n",
    "            the training dataset, the distance between them and the randomly\n",
    "            selected center is taken. The next center is then chosen from the\n",
    "            training dataset so that the probability of being chosen is\n",
    "            proportional to the distance (i.e. the greater the distance the\n",
    "            more likely the time series will be chosen). The remaining\n",
    "            centers are then generated using the same method. This means each\n",
    "            center will be generated so that the probability of a being\n",
    "            chosen becomes proportional to its closest center (i.e. the further\n",
    "            from an already chosen center the more likely it will be chosen).\n",
    "            </li>\n",
    "         </ul>\n",
    "     </li>\n",
    " </ul>\n",
    " <br>\n",
    " These three cluster initialisation algorithms have been implemented and can\n",
    " be chosen to use when constructing either k-means or k-medoids partitioning\n",
    " algorithms by parsing the string values 'random' for random initialisation,\n",
    " 'forgy' for forgy and 'k-means++' for k-means++.\n",
    "\n",
    "### Assignment (distance measure)\n",
    "How a time series is assigned to a cluster is based on its distance from it to\n",
    "the cluster center. This means for some k-partition approaches, different\n",
    "distances can be used to get different results. While details on each of the\n",
    "distances won't be discussed here the following are supported, and their\n",
    "parameter values are defined:\n",
    "<ul>\n",
    "    <li>K-means, K-medoids supported distances:\n",
    "        <ul>\n",
    "            <li>Euclidean - parameter string 'euclidean'</li>\n",
    "            <li>DTW - parameter string 'dtw'</li>\n",
    "            <li>DDTW - parameter string 'ddtw'</li>\n",
    "            <li>WDTW - parameter string 'wdtw'</li>\n",
    "            <li>WDDTW - parameter string 'wddtw'</li>\n",
    "            <li>LCSS - parameter string 'lcss'</li>\n",
    "            <li>ERP - parameter string 'erp'</li>\n",
    "            <li>EDR - parameter string 'edr'</li>\n",
    "            <li>MSM - parameter string 'msm'</li>\n",
    "        </ul>\n",
    "    </li>\n",
    "</ul>\n",
    "\n",
    "### Updating centroids\n",
    "Center updating is key to the refinement of clusters to improve their quality.\n",
    "How this is done depends on the algorithm, but the following are supported\n",
    "<ul>\n",
    "    <li> K-means\n",
    "        <ul>\n",
    "            <li>Mean average - This is a standard mean average creating a new\n",
    "             series that is that average of all the series inside the cluster.\n",
    "             Ideal when using euclidean distance. Can be specified to use\n",
    "             by parsing 'means' as the parameter for averaging_algorithm to\n",
    "             k-means</li>\n",
    "            <li>DTW Barycenter averaging (DBA) - This is a specialised\n",
    "            averaging metric that is intended to be used with the dtw\n",
    "            distance measure as it used the dtw matrix path to account for\n",
    "            alignment when determining an average series. This provides a\n",
    "            much better representation of the mean for time series. Can be\n",
    "            specified to use by parsing 'dba' as the parameter for\n",
    "            averaging_algorithm to k-means.</li>\n",
    "        </ul>\n",
    "    </li>\n",
    "    <li> K-medoids\n",
    "        <ul>\n",
    "            <li>Median - Standard meadian which is the series in the middle of\n",
    "            all series in a cluster. Used by default by k-medoids</li>\n",
    "        </ul>\n",
    "   </li>\n",
    "   </li>\n",
    "</ul>\n",
    "\n",
    "## K-means"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 360x720 with 0 Axes>"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 600x400 with 5 Axes>",
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jBc5ggduZs4poPuYc3uJSPuQ8Skh2Lxvy4x/Dj34kFgoQkbRli8y8W7NGerZr1/oOCbkwRnqUI0eKz8IZZ0jSCNqBKS4WH6933xUrUElJ05HJvQmjnpFsYirLmcYyprKc4WxtkK+cOFYxyS2kljM1KCfdAQPExH/mmXDOOUc3G6++XvypDh8WK9fw4a3ri1JQIL57r74qvnsHDgRXj0lJMinh8svFqb693qd5eXD//TL0Fui5EyyD2Ol2PJ7B1wxle4Nc2fTyyjGD9YwJWlj74xKh/k7cI0fCH/8owkk5fvbvh7POknYYxHJ4Kou4kPe4nDd8ZuvtYiCvcDWvcDWbGRnwfCNHygzmiy6StfNORE404aQWJy+KisTR+7HHPC+KMOo5jS/4Ls9zCW+TgEdJLWYGz/Nd3uByiknBGDj5ZHnh9O4tVpFly6SHvnChCCXvcAHepKWJE/Lpp8vyAGFh8nLVZQKOncpKCYvw4ovS2wzWIuWiC4VMZqVbSE1hRcBlbHYzwC2kljGNdYxtMq4WiOXwggtkAsDQoSKqoqN985SWymytf/9bpou7CA8XQT13rgzZtEQQ0PJyERPvvSdWl8aaNldMsD59RMzX1or42LfPV4RMmgS//71cW0KCZxp+RYXc18drLc3NFX+/FStkWGbkSPjLX8TfLxDLlomFctEiye9PVwqYxCr3dPfJrAw44WAjI1nCyW6h5D1rszkSEqTOoqOlvrOyJOxFr14iivOcPuPR0bLM0CWXwGmnyUQRpWWxVpz6H37YM8kDZEhvDp9xNa9wEe/6tPfrGc3LXMOrXMU++gc876BBEs7guusad8HojHR04XRUQ3UBjj8hfZwqK2WW1O9/7/FlGMEmvsvzXMtL9MHz1tpJJs/zXV7kO+xhIMaINeHHP5ZhuD17xCy8cKH4JwUSStHR8tKbOxe6dZMXyeTJ8kJUWof8fHGo37BBrFHWipDKz/fM0Nm+vXFhC+L8O4ytbiE1jWWMYHODaeSVxPANJ/kM8eXQdMTA6GgRT64I7Q4HfPWVR4x07SoCaccOKb83p54qflV5eXJ9OTkiLEpLxeoWGSmCp7RUhEtYmCSHw1MPRysqj5c+feS+j4oSC9rMmWKJa6rZcTjgs8/EAX/evIZlTkkR8XTTTXLebdsk3taCBb5CMJoqxrPGLZCmsIJB7GrwfdVEsZLJ7mG3pUznCE2rmPBwWcpj/HgRj/HxklJTZYZWZaX8hp99JuvL5eZ6jo2LEyH829927KHdjkZOjgS9nTdPhqJdbUAc5ZzPB1zNK5zNPJ9h2SVM52Wu4Q0uJ4+GvYCwMOkMp6VJ237GGTIJqF+/zum836GFE7idw1daa3/i/BwG7AceU+dwX2prZSHdX/xCXig9OMTVvMJ1vMBEvnXnO0IKr3IVz/NdljMVMKSny3DeLbfIg/Duu/CnP4mfhDdpaWJFmj0bZsyQBjQxMbTxUZTAOBwirv7xD5md0/jCyh6SKGYyK32G+LpypEG+ffRlOVNZzUR30MJDBO+s0rWrWCuSk+W+LSwUK1Rlw+DyHZaoKImLdemlHottRYUsf7N0qViXCgo8+adOFatdv37wt7/BOufs88hIEUp1dZBICaPYyGg2MJZ1TGYlY1kXMLiqa0mPlU5JtZZx1BDdIF8gUlPFYpyZKffQxo0iVI8cCexY7iIpSY679FLpSMXFHU2NKa3BG2+Ie4X3vdaFQi7hba7hZU5lkbuzVEc4C5nNy1zDO1zcIMyJP8nJ0tE580z5vTMzW/FC2pDOIJyuBJ4DfgisRMIRXAEMs9YeauLQE0Y4VVXBr38tjpZhNZVcwPt8l+eZy3z3wpO1RPAR5/I83+UjzqWGaNLT4cEH5aZPSJAhIFeDvmmTnDs8XETSeefJ3+HDO2cPo7NTWCi/67Jl4ny+fr2IlPLy5gSVZQjb3UJqGssYxcaAQTsP0YOtDGM7Q9jOEHYyyGfdsGP2lcFBAmUkU+yTkihpsK2xfdFUE4aDcOoJw4GDMJ+FoOuIoJZISklscLYjdCGf7uTTnTxSKaAbxSRTRArFJFNGAsEObwW8PiMiq74eHPWWWFtOP/b5LTCykyFspx8BAqwBh0l1i6QVTOEbTmrWmuRPt25iRdq3r2HUbW8iI8UaVlYm5c7MFIvUJZdIG+E/RKuEnvx8mTn35JMypOpNL7K5kte4mleYzCr39kpieJ8LeIlr+YSzfCK4u0YT/NuOgQNFQJ17rifMSUekwwsnAGPMbXgCYK4FfmqtXRHEcZ1aOC1eLI6reYfqmcHXXMcLXM4bPgtjrmAyz/NdXuNKCuhOWJgENnzoIZlqvnevTFO+/37fmC7x8RKA8mc/6/yhAU5kqqpERG3bJi/CvDwZUtu8Wf6va2jIIIFSTuIbprLcvSjrYHY0upQGSNTjArpRTjwVxFFBHLVEuoWMfwqnngTKSKKEREqbXFQ51NQRTglJVBJLLZHUEBX03wjqnJLMk7xnRAXiIOnOJXAldtJKJrOPfhxNUMkRI+S5tlYsSbm5YlVyDRe6lvnp318ibk+ZIlbClBTxYdJh+I5Jfb2sevDVVzKZwOVQ7mIQO7iKV7mGl30mkxTQlde5ghf5DkuZjute69JFhu0OHxa/S+/2om9fGcG4+WaxYHYkOoVwOlY6o3AqLRU/hzdfqOR0x2dcyHuczwc+0Xv30ZcXuI4XuI7tDAVkXPqxxySonMMh5tu//EVemi569ZJYKqNHixNnR7vZldZh/34Z7nvrLZmRFshCFUsFI9jMELYzlG0MYTuZ7CKdbNLIdVs+j4caIhuxLyVTQlKT26uIwUEY9YTjIMwtziKc9qZw6omiJqAVqwtH6E4+qeSRSh5dOEIKRaRQ1Oj6g8dLMUkBF7bdzIijtiQdDePGSWiQG27QBWI7Ow6Hxw/qk098/dPAMp41fIcXuZpX6IVn534yeIPLeZ0r3OENYmMl1tuAATLk/vrrnqHBqCixQM2cKVaoQCtHtDdUOHUC4bRtm6j2/UuymG0/43w+YC7zicPjEFJEMm9xKc/zXRZzCpYwMjPlhXfWWeLct3evCKZ//ctjXYqIEKfPiy6SRV47yhIFSujIzZWZO6+8Ir1Mb9+JQIRR7xYecW57UwWR1LqFjHdybSsn3kf8HE+QxdbBEkslKRSRTDExVBFFDZHUBv3XQRh5pPrYnPJIpYI4vC1IUVHi+9S3L2Rny3BZfLx0drp3l+Gx4mJ5GR4+LH5JRUWBSx0eLp2iwYNFKA0cKL6L06frIs8nKvX1Mlv6iScktIw3YdRzOp/zHV7kEt72iVi+j77M42zmM5fPOZ0SkomKEpE0bpzEnFq1yvd848d7fOAmTGifYT5UOHVA4ZSfL9ahFx8rYlTBIubwGWewoEHclf1k8C4X8R4X8hUzqSOSbt3k5r/0UrkhDxwQP6ZXX/WdvdS1K9x+O9x2m4YIUI6Pmhq5Z9etk4jjn37qmeFWWSnDgfX1nm0VFTIsWFPju70lCA/3DDdFRHh8LBwOj1NzWJh8b3tu7mJjZRj++uvF+fZoXy4Oh1injfH4JLr+j4nRoTalcRYvlpmQy5Y1jMEVQyVzmc8VvM75fNBg2ZdlTGM+c5nPXL5lAg7CSU+XyRExMXJO7+G8gQPFcf3GG8XHrr2gwqkdC6eaGti9W6b5v/wy7F5VwNCybziFxZzBAiaxysdvpJ4wVjKZ+czlPS5kLeMAQ1ycOGX+8pcSHbywUHqlCxZIcr0wIiNlyO5735PFdnXGi9KRqK+Xe7mmpuHfyEhpnI/GGbW4WPy4XFHEi4pEWEREiLBwpYQEOfe+fZ4V7YuLZTZpZqZYfJKSpDMSFibP3ooVYvXZtUtCKNTUBBZqEREyvDFsmMRuGjpU0pgxav1VQktNjcyqfv11Gab3dyqPoZLT+dwpk+Y36Njn041FnMpKJrOKSaxmIqUkERcnz05JiWcWbUwMXHGF+NMNGCDxA0O5RmaHFU7GmP7Ab4HTEafwbOBF4E/W2sArnTY8R7sRTiUlnhlri790UPDNHjJKNzGSTYxhPZNYFTD2ylaGsoAz+Iw5fMksikkBpKEePFjET0SEvFSWL2/YQwDpsd55p/gtxbS30Q5FOYGorpYp/ZWV4midnNw+hyoUxZ+8PHEbSUmRiUW1tWJB+sMfxNrcj73MZT5n8ilnsMBnkhLIBJFtDGUVk1jPGLYyjK0MYy/9G8y4jYmR2d4XXyzhLdraGtWRhdNZwJXAK8BOYBTwFPCCtfaOIM/RqsLp8cfl5omOlmGwzZtlaOzIEaguKCOhNIf06j0MsLsYxE4y2eVO3v5J3rhiryxkNguZzQEyjqpMAweKL0Rysqj2s8+WnqyiKIqitBa5ufD3v4tbSM6BOqawgpNZwiRWMYlV9GdfwOOqiWIHg91CahtD2U9fDtCHg/Smmhh69BCfqaFDxT8vLk6MBd//fuu4mnRY4RQIY8yvgB9ZawcGmb9VhdMfzG/pTj5hOEiihF7kuFMSpU0eW0U0WxnGJkaykVHulcaLaPwuCA+XmyUxUZaoGDdOTPqJiTJuPHGimPw1zpKiKIoSKqyVEZD77hN3kbo6SOWw8y33DSPYzDC2MpRtzYbfKKArhXTlCF0oIoUSkqgmmmqi2f+TB7n3/1p+lmlnE05/BM6y1p4UZP5WFU77TL9GA9KBrCy+j35uO9NOBrn/38MAH/NkZKTEVxk9WmYa9Osnqjo2VraPGiUmUpc/h5r3FUVRlPaOwyHL8rzwgszq3r3b4yBucNCX/U5bk6QhbKcPB+jDgUZHZlyMT8thTU7wKxYES6cRTsaYQcBq4A5r7VON5GnTRX5/bh4miRL31OkcepFNutvuVEaiT/6wMHEynT0b5syBIUNkHajUVBVCiqIoyolBQYHM/n7tNQm8GhhLF47Qixy6cMSdEiklihqiqWbllJ/y+fKWn+XU7oSTMeZ+4K5msg231rrDlhpjegNfAoustTc3ce57gXv8t7eWcAo0JGaMOG6PGCHObcOHyxjsjBk6i01RFEVRvCkpET/hqCiZsfrhh+IntXx54JULvHnzTQm90/Jlan/CKRVozkd+t2vmnDEmHVgELAdusNY2uq5DYxanrKysVhFOK1bILBkQZ+yhQ3XWmqIoiqIcL/X1EgIhJ0eG+wKlmTNbZ23EkpISMjIyoL0Ip6PBaWn6Ahmi+4619qjWbXAef6A1yqYoiqIoSqemj7X2YFMZ2pVwcoqeRcA+4HrwLHZlrc1t5DD/cxggHZqZ4nbsJCLCrE8rfofSOFr/oUXrP7Ro/YcOrfvQ0hb1nwhk22aE0VHE3G0T5gCDnMnfahTUhHvnBTepFo8H43FyKm3OnKe0PFr/oUXrP7Ro/YcOrfvQ0kb1H9R529W8Lmvts9ZaEyiFumyKoiiKoijtSjgpiqIoiqK0Z1Q4HT3VwO+df5W2R+s/tGj9hxat/9ChdR9a2k39tyvncEVRFEVRlPaMWpwURVEURVGCRIWToiiKoihKkKhwUhRFURRFCRIVTkeJMeZWY8xeY0yVMWaFMWZyqMvU2TDG3GuMsX7Jex3DGGPM48aYAmNMmTHmLWNMz1CWuSNjjJlpjPnAGJPtrOuL/PYbY8x9xpgcY0ylMWaBMWawX56uxpiXjDElxpgiY8wzxpiENr2QDkoQ9f9sgOfhE788Wv/HgDHmbmPMKmNMqTHmsDHmXWPMUL88zbY3xpi+xpiPjDEVzvM8YIxpb3ES2x1B1v+iAPf/v/zytGn9q3A6CowxVwIPIZ79E4B1wHxjTI+QFqxzsgno5ZVmeO17GDgfuByYhUSKf7utC9iJiEfu5Vsb2X8n8FPgFmAKUI7c996rNL4EjESC2J4HzASebK0CdzKaq3+AT/B9Hq7226/1f2zMAh4HpiJ1Fwl8aoyJ98rTZHtjjAkHPgKigOnIqhc3APe1fvE7PMHUP8BT+N7/d7p2hKT+rbWagkzACuAxr89hSJTyX4e6bJ0pAfcCaxvZlwzUAJd5bRsGWGBqqMve0ZOzHi/y+myAHOAOv9+gCrjK+Xm487iTvPKcBTiA9FBfU0dK/vXv3PYs8G4Tx2j9t1z9pzrrcqbzc7PtDXA2sjxYT688twDFQFSor6kjJf/6d25bBDzSxDFtXv9qcQoSY0wUMBFY4NpmrXU4P08LVbk6MYOdQxe7nUMQfZ3bJyK9Eu/fYSuwH/0dWoMBQBq+9V2MdCJc9T0NKLLWfuN13ALkxT2ljcrZ2TnVOQSxzRjzhDGmm9c+rf+WI9n5t9D5N5j2ZhqwwVp7yOs884EkxAqoBI9//bu41hiTb4zZaIz5izEmzmtfm9e/jsEGT3cgHDjkt/0Q0gNRWo4ViKl1G2KWvQdYbIwZhbzEa6y1RX7HHHLuU1oWV50Guu/TvPIc9t5pra0zxhSiv0lL8AkyNLQHyAT+DMwzxkyz1taj9d8iGGPCgEeAJdbajc7NwbQ3aQR+PkDrP2gaqX+Al4F9QDYwBvgrMBS4xLm/zetfhZPS7rDWzvP6uN4YswJ5cK4AKkNTKkUJDdbaV70+bjDGrAd2AacCC0NSqM7J48AofP0plbYjYP1ba7199TYYY3KAhcaYTGvtrrYsoAsdqguefJzjqH7bewK5bV+cEwdnb287MAip6yhjTIpfNv0dWgdXnTZ13+cCPhMknDNauqK/SYtjrd2NtEeDnJu0/o8TY8xjiFP9adbaA167gmlvcgn8fIDWf1A0Uf+BWOH8633/t2n9q3AKEmttDbAamO3a5jQtzgaWhapcJwLOadWZiJPyaqAW399hKNAX/R1agz1I4+Nd30mI74yrvpcBKcaYiV7HnY60LytQWhRjTB+gG/I8gNb/MeMMtfEYcDFwurV2j1+WYNqbZcBov9nVc4ASYHNrlb0zEET9B2Kc86/3/d+29R9qL/qOlIArkdlE1yMzWf4NHMHLm19Ti9Tzg8g01f7I9NLPgDwg1bn/CWTo7jTEeXMpsDTU5e6oCUhAGqNxyIyWnzv/7+vcf5fzPr8AGA28C+wGYrzOMQ/4FpgMnIxYCF8O9bV1hNRU/Tv3PYBM1+6PvMBXO+s3Wuv/uOv+n0CRs71J80qxXnmabG8Q39cNiEPyWGAu4nP251BfX3tPzdU/0mH+rbPe+zvboF3Al6Gs/5BXXEdLwG3Oh6ga6c1NCXWZOlsCXkUcAauBA87PmV77Y5Dx8EIkptDbQFqoy91RE+IrYwOkZ537DRITJRfpOCwAhvidoyvixFmKTAP+D5AQ6mvrCKmp+gdinS+Ew8i0+L1IfKaefufQ+j+2ug9U7xa4wStPs+0N0A/4GKhAOnkPAhGhvr72npqrfyAD+BIocLY9O4C/AUmhrH/j/FJFURRFURSlGdTHSVEURVEUJUhUOCmKoiiKogSJCidFURRFUZQgUeGkKIqiKIoSJCqcFEVRFEVRgkSFk6IoiqIoSpCocFIURVEURQkSFU6KoiiKoihBosJJURRFURQlSFQ4KYqiKIqiBIkKJ0VRFEVRlCBR4aQoiqIoihIkKpwURVEURVGCRIWToiiKoihKkKhwUhRFURRFCRIVToqiKIqiKEGiwklRFEVRFCVIVDgpiqIoiqIEiQonRVEURVGUIFHhpCiKoiiKEiQRoS5AS2OMMUA6UBrqsiiKoiiK0mFIBLKttbapTJ1OOCGi6UCoC6EoiqIoSoejD3CwqQydUTiVAmRlZZGUlBTqsihNUFEBmzbBunVQUAA5ObB+vSVvbwWUlhJdW0aSKSWaasKMxVpwOCwGSRbc/xPk/xZDHRHUEkktkY3+70plJGAJP+5rNQbCwqC+HiIjoXt3SE6G+HjIyIAxY+CiiyAz87i/SlHaBGth/37Iy4PKSvl/+3bYsgV27ICqKqitlWfb4WjRbyaGSpIoIZlikiglimqiqPFJkdT6/B9OPZ7WIwwL7s8Owrz2+X72/7+KGJ9UTbT7bwlJFJGCJZzwcOjSBfr2hX79JKWlQWqqpPR0GDRI2gYl9JSUlJCRkQFBjFaZZixSHQ5jTBJQXFxcrMIpBBQUwBdfQHExlJbCvn2wc1M1VTuyiD28jx7V++lTv4++7KcPB0immERKSaSUJEpIoIxwWrSVPW6KSOYIXSikK0fo4vO/998CupFNOgfpTQXxx/RdxkBKCgwcCGeeCVddBaNGiehSlFDicMDnn0tavhxWr4aSkuM/bxj19CKnQUojl24UkEwxKRT5pChqj/+LWwkHhkK6kk93dzpIb/bRj/30ZR/92Ec/ckkjOiaMCROk4zRqFFx6qYgrpe0pKSkhOTkZINla2+SdrcJJOSrq6+HTT2HJEqiulh7mkiVQX1TK8PqNDGY7A9nNAPa4U5+mrZ4BcWCcciqRKmJ8eoNAo5+b2mcxhOEggjofu5KrR+qdjle8FZHMQXq7G8xtDHWnPQygjsijPmdSEowfD//zPzB7NoQfvyFMUZqkthZWrYKXX4Y33oDDh4/9XF0p8HoKJA1hO4PYSTQ1R32+esIoIoUSkqgixs/eJKmaaPf/DsK8WgJLGI5GPze2L4I6oqn2szlJiqWSBMqDLn8NkWSR0UBQ7WEg+5NHM+CkbkyaBFOmwEknQe/eap1qTVQ4qXA6bioq4PXX4YMPYOtWyM2V3qWjrp6B7GYM631SJrubPF85cT4NxH76kkUGR+jiFkjeqZx4IHSthMFBFDUkUkpXCunCkWb/ppJHbw4223jWEsFuBvq9QiTlkcrRXHd4uDSoc+bAxIkwcyaMGKENrNI8VVUyvLZ5M5SXQ1ERfPUVrF0rz3t5uXSUjoYoqhnEToawvcHd3Y3CRo+rI5xc0nxsTrmkkUeq285UTLKP3amMBELZRgQiglq6Uuhla8onlTwyyKIfYmnvxz56c5AImq7cA/R2t7DrGMtqJrKDwcTFGSZOhCuvhFNPhZgYGTZNSJChwejotrnWzoYKJxVOR0V2tvQmly+HjRth1y7xWQDoRTazWchMvmIs6xjFRuKoDHieg6SzheHsZiB7GOD+u4cB5NOdY23kwsPFLyguTnyCIiOhpkbK6Er+t3FcHPTsKY1JdLQMM+Tny7XW1fnmjYyU4/23h4VBVJQnGSMvkro6+d8YiIiQ8kVEyHkSEyzJpoSksmySyw7SpeIgaRW7GWw9Pex4Khq91iOksJ0hPq+c7QxhB4OpIjboOuvdW4TUmDHQvz/MnQt9+gR9uNJJycuDt9+G//5XLEnH7ntk6UUOY1jPWNa501C2NSkI9pPhvqe97+/s8L4QHk5EhPj+xcXJM5WaKsPWCQlyfGKi/J+TA1lZIv7q62VbRISIv5ISeUZraz1/QZ7hpCR5Xisq5DtSU+U5Ly+XfDU1sq+kRM5V6dXUhYfLd9XWyt/jeXWGU0c62U4bk0dQ9WMfQ9jOQPYEPC6XnnzNDBZzCl8zg3WMpd7PVXnKFPjOd2DGDBg5UtolpXlUOKlwCsjBgzKslp8vvkjLlsG338KhQ548iZQwiy85gwWcwQJGsrnBeSqIZSOj2MBod49oA6MpoPtRlykmRhrKmBhpjA4d8jR0R8v06XDbbXD66dCjR2CrS309HDgAR45A166S4p3uSGVlMvwIsi02eJ3SLA6HWO6+/MLBircPUv7tNnoWb3cLqqFsox/7nC6rAcpNGFsZxlrGsZZxrGE8axl3VHU+YQJcdpnU07Rp8iJROicua9KqVfDWW9Ihys0Vv8OjJZIaRrC5gUhKJT9g/hISG1hStzOEvRGDSeoVz7BhMHasWEf79pUJES5h1JGwVoRVQQGsXw9ffy0TXbZvlzbG1ZYcC4mUMJoNbov+ONYygW8bDGmWkMgyprGYU5jH2XzLBLw7qOHhMGwYnHIKXH+9iCq1RgemXQknY8ytwK+ANGAd8BNr7com8l8O/AHoD+wA7rLWfnwU36fCyUlpKbz3HnzyiTzU+/YFztebA1zIe1zEu5zKIiLxmF4cGFYzkYXM5htOYj1j2EUmjqOcaZaZKf45I0bAkCEweLCkLl1889XWisBzOKTxLyyURmjHDullHjkix0yaJOfs1k0+d+nSskKnLbBWfEby8kRUffpeJYeW7CT+4Db61/gOdXShKOA5DtDbLaLWMo7VTGQf/QjGupeWBlOnwsknw7nnwoABImCVjkV9vQijb7+FpUth0SLYufPYztWDQ4xlnY9IGs4WnzbB/b2EsZ0hXlJqLBvNGBy9etO3n2HsWHlOhw0Tq1HPnifOS9tasW5v3dowHTjGYDnRVDGJVczga05hMSezhGR83+/7yeB9LuBdLuJLZjXwpUxMhOHDxRH9+99XIeVNuxFOxpgrgeeBW4AVwO3A5cBQa20DN0NjzHTgK+Bu4EPgGuAuYIK1dmOQ33lCC6fqapg3D155RfyTKgOPqpFICVfxKjfxH6aywmffTjL5jDks4Ay+4DSO0DXo7w8Lk4ZywgRJ48fDuHEyU0wJntpaefl9+im8+Ybl8LocMstc8mgt41nDYAK/HfPozkoms4pJ7r/5pAb1vSkpYt6fOBFOO00ElZr62yfFxfD88/Dww7An8MhOo4RRz3C2MI61PiIpjUMB8xeR7COQ1jGW3C4jGDkpjjlzYPJksR717q33S3OUlopVyl9Q7d0rVu9AREbKsKP36zqMekazgVNYzGl8wVzm+7gBHCGFDzmP/3IjX3AagTpTI0eKFfo735HQCCcy7Uk4rQBWWWtvc34OA7KAR6219wfI/xoQb609z2vbcmCttfaWIL/zhBROq1fDE0/Am29Kg+oiJUXG6gXLdJZyM09zBa+7HzIHhqVM510u4j0uZCeDm/2+qCiJRdSrl4ij8eNxT6uNi2vpq1NAGs01a+DJJ8VPpTKv1G3GH88axrOG0WwIOFV7D/19hNRqJlJO8+Mj3brBD38Iv/mN/q6hpq5OhtdXrJCQHwsWiE8OiNWg8abcMoA9TGYlk1jFJFYxkdUBfe0cGHYyqIFIyiKDXr0MkyfDhRfCJZfIELvSstTWiu/Whg0y/LdunfzO3m16Y8RQyWwWciHvcQHv0xOPbWIbQ3iSH/Ac1wcc3g8Ph5/+FH73uxO3k9suhJMxJgqoAC6z1r7rtf05IMVae2GAY/YDD1lrH/Ha9nvgImvt2Ea+JxrwnkeQCBw4EYSTwyHDcA88IOZ5F716iajZskUa2+7k8V2e52aeZjhb3fk2M5ynuZmXuJbD9Az4HSkp0pucOlVMvAMGSEpNVRNvqHE44Jtv4J134KOPxELlqKxiLOuYxCr3i9L7N3dRTxhbGM5KJrvF1AZGU0tgx6fISPjJT+DPf9ZZO21JdbX4JX74oYQEOBTYIORDT3LdAsmVulPQIF8pCQ0E0kZGUUE8EREyrD5zJpxzjsQU0/AXoaG6WsTTp5+KYM7KEiHV1Ks7jHqmspxreYnv8CJJzpiO1UTxBpfzb37I18zA3woVEwN33QW33HLixZNqL8IpHQlbPt1au8xr+9+AWdbaKQGOqQGut9a+4rXtx8A91tqAb3ZjzL3APf7bO7twWrRIHKE3bZLPERHSCywthfnz5aU6jjXcwYNczhtuK0Q5cbzGlTzNzSxjGv4PTmys+CNMnCjOhKedpgKpI1FZKf5sTz8tU8vz8yGurpiJrHYLqcmsJCPAqkRVRLOWcT7DfDsYjPVbCzwlRRrWu++WWUpKy2ItrFwJTz0Fr74qM74aIwn5bb2Fcl+yGuSrIZK1jHNLqZVMZhtD3b6KffpIbLC5c6WjNHCgPvftmbo6GdrbuhW2bZNJAO+9J36h/sRTxtW8wg/5Nyex2r19EyP4F7fwLDdQRmKD44YOhRtvlPeMawJNZ+ZohBPW2lZJyJpxFpjmt/1vwIpGjqkBrvbb9mPgUBPfEw0keaXegC0uLradkdJSa2+91VppXq1NTLT2ttusPeUUa42xFhz2TD6xnzHbkwnsCibZ7/Nvm0ix92ZrjLWDB1t7333W5uSE+uqU1iA/39oHH7R24kRrk5Lkd08j257Pe/Y+/td+wpm2gC4+94srFZFkP2O2/TO/thfxtu1Nlk+W8HBrZ82y9tChUF9lx6e21trHH5fnMcBPYcHaFArtBbxrH+Zndg1jbT2mQaZ6jN3ICPtfrrc/4nF7EittFFXu36tXL2svucTap56S9kTpHBw5Yu3zz1t7883WDhkS+P6ZyCr7JDfbMuLcG4+QbB/gl7YvewMe07OntU8/bW19faivsHUpLi62Ts2SZJvTN81lONYERAF1yDCb9/bngPcaOWY/cLvftt8D647ie5M6q3D6/HNr+/f33NBXX23thAnyfyTV9jqes+sY7c5QS7h9kWvsBL5pIJZGjbL2ySelsVZOLEpKrF2yxNrf/tbauXOt7dPH2ohwh81kh72Kl+1D3G4Xc7ItJzZg67uXvvY5rrM38bTNZIcFhwVrw8KsnTzZ2tdft/bAgVBfZcdizRpr+/ZtWN3JHLHn8b79Oz+3qxkfUCjtoZ99ncvsHfzNzuILm0CJWyQNGWLt7bdbu2qVtTU1ob5KpS3JybH2mWesnTNHnk3v2yaRYvsjHrdbGOrzvniNy+1UlgYUUCefbO3GjaG+qtajXQgnKyJmBeII7vocBhwAft1I/teAD/y2LQX+dRTf2emE0/79IpJcN3Dv3tYOdd7vSRTZO/ibzaK3O0MJCfbv/NynB2GMtdOmWfvee9qAKoE5fNjaJ56w9tprnWKKWjuGtfZmnrT/5vt2DWNtLeENWtQDpNuXuNr+kCfsMDa7hVRGhrW/+5215eWhvrL2Q12dtYWF1hYVWfvFF9bOnm1tTIynOrtQYM/nPfsAv7SrmGjrCGtQ35sZZv/JLfZyXrM9yXHv6t7d2rPPlg7R9u2hvlKlPZGba+2jj8r9ER/v1Ymm3p7Dhw1GKJYxxV7Bqzac2gad7jvv7JzPdHsSTlcCVcD1wHDg38ARoKdz//PAX7zyTwdqgV8Cw4B7ncN3o47iOzuNcHI4rP3vf31v9ORk+duf3fZv3GGLSXTvPEgvexd/sSkUuvMPGmTtJ5+E+kqUjkpRkbWLF1v7ve+JYE8wZfYMPrV/4Df2K2bYKqIavNhz6WFf5zJ7K4/aUay3hno7cKBYojq7uT8QWVnW3nWXdHbC/XRnLw7aK3jVPsaP7XpGNahLC3YrQ+y/+IG9kldsGtnWGGtTUqQj9Oc/W7t3b6ivUOlI1NRYu3SptX/8owyzG6cRczTr7DPc6PNM7yPD3sHfbDJHfG7L1FRrP/ww1FfSshyNcGqLAJi34QmAuRb4qbV2hXPfImCvtfYGr/yXA3/EEwDzTnsCBsDMyxOnvNdfl89hYWAcdZzLR9zCv5jLfHeU6U2M4EHu4GWuoYZoEhPhV7+CH/1IZtcpSkuzcyfcdx989GYlYyqXM4svmcWXTGU5sfh6qObTjcWcwpfM4mtmsMmMJrlHNPHx4lyemiqzNn/wg6NfFqauTpJrva5DhyRC9v79sHu3ONAeOCDboqPFydW1PI4rgnWXLlKO3r0l4nxYWLNf2yxVVfDuu3DvveK8CzLTaTA7mMxKZvElM/kqYCyuLQxz19ciTiU3rDejR8vaZHPmSOgPneGmtBTFxXKvPv88fP65BEH9EU/wY/5JD/IAKCOe/3Ij/+Bn7MIT8GnECJnVO2RIiArfgrSLWXWhoqMLp8pKmfL94IOeGRLpHOR7PMP3ecpnNtQnzOX/+CmfcBaWMC67DP7zH4kOqyhtRV2drHP4wAOw8ONqxtetdAup6SxtEC+ohkg2MopvmcB6xrCNoWxlGFlkEB4RxvDhcMMNEtG8SxcJCnjkiCft2CHTsnfu9MQoCws7nnXXfImM9AiT8HARXElJsubfuHEyNf/0033DMtTXS9TuDz6Aee9UUbozl37scy+Z0dg6jw4MaxnHl8xiMaewmFMoiUpl2DA47zxJJ52kQSWVtqG6Wmbl3nEHbFlbxTW8zM95mNFI/GkHhg84n2e5gXmcTTWy1MCZZ8ILL0jHo6OiwqkDCSdXg/vppxK8cqsz5E4fsriEt7mMNzmZJW7rUh7d+Q838SQ/YDeZdO0qQct+8pOW6SkrSktQXi4WqccfrmF07Wq3kJrMSrpRGPCYCmLJJp08Ut2phCTKSPBJFcRRR4Q7OQgjnHrCcARMje0Lpx6DxWJ8koMw9/8GSyS1DVIslcRTTjzlJFJKDw6TTja9yKErRxqtlwpiWcs4t0VpCSdTFpbMKafAz38uMZNUJCntgaoq+Nvf4P6/WKZXLeTnPMy5eAZ/ikniHS7mVa5iIbOpI5K+feEf/xDBHxHRxMnbISqc2rFwKiyUKN+rVomy//pr18KblkHs5ELe4zLebLAMylecwr+4hbe4FEdENLfeCn/8Y8dcHFM5scjLgz/9SayhpaWWvuxnAt8ykdUMZwvD2MpgdgSMeN5RqSKag/RmEyPdwSW913lMS4PvfQ9++cuG6zUqSnsjLw/eeAP+e9dWrix7mit5zWf0I59uvMPFzONsFjKbEpKJjJShvAsvlA7B6NHte/UBFU4hEE7WyrDBoUOyWnZBgfy/c6cIpU2bJBhhnddamd3IZyZfcSafMpf5DGCve58Dw9fM4C0u5W0u4aDJ4Mwz4b//lcjgitIRqamBP/wB/vUveR5chFNHP/aRRi49OEwqeXQnn0RK/exNZcRR4WVvqiOceuoJp55wH5uS/+fGthksYTh8/rr+txgfW1MdEdQSSSWx7hKVE89hepBDL3LoRTbpFJGCK7hsRIQsaH3ddXDTTbLYraJ0VLZuhfv/7GD3S8u4wvEKl/OGz/IudYSznKnMZy7zmctqJvosCh8dLc/A2LEy5H3lle3jnabCqRWF0wUXSIMfGSm+F4cOid9FZaWIp8aIo5xRbGQ8a5jGMqaxjCHs8MlTQySLOYW3uJR3uJji2F5ceqlYlvr1a/FLUZSQkp0Nb70Fzzwja3J1FoYPFx+Riy6CrsGvj60oHYqaGnj/fXj04Tqili7iPD5gLvMZxjaffOXEsY6xrGE8axnHGsazkVFu/yhvjJEUFibrocbGSkpIkBULEhPhpZdkQklLo8KpFYVT08sQWNLIZTA7GMwOBrGTIWxnDOvJZJfbT8mbzQxnAWcwn7l8ySzCkxJ4+GFxjlWfJeVEobAQHnlE1mXbulU6J64FbNsz0dEwa5YsQTN+PPTtq8+tcuJRVydLvvzjH3BgyT7OcIi96QwWkExDDVJLBFsYzlrGsZVhzjfmYHaRGXD5F2/uvlsmULU0KpxaUTh93zxFCkVEUEcyxU7jvKT+7CWRskaPzSGN9YxhBVNYxjRWMIUi05URI+DyyyV8QEeelaAoLcmhQzJx4ttvxceiqEgsu5WV4rhaWioCq7jY5SfY9Oy6uDgJz5GRAZmZsohpXByUlEBOjpy/sFDOWV4uQ2xhYWJJjo2VZzMjQ4YVRo6Utd3UEqwovhQXiyXqs89g4af1JB3aznjW+KTGJogAHCGFg/TmAH3IJY1SEt3D4qUkUnnFDTz1Wsu/21U4taJw2mf60Y/9je6vJ4x99GMng9wq2uUgmkcPZxllIc0XX4RBgxo9laIoQeJwSIqIkCnVhw+L+KmtFfN+9+46kUJR2hprZSLUo49KqI7iYgBLBlmMYy1jWeczQpNKfnOn5JdXHeTvr6S3eFmPRji1yoRBY0x/4LfA6Ujgy2zgReBP1tpGDfDOgJiz/Db/21p7S2uU81h4m0voSiG1RFJOvJe9qRf76cseBlBDdMBjTz0VfvMb6anqyuOK0nKEhXmGyKKjxTKkKEpocRkJXnhBRNSXX8JDDxnmzetLVl1fPuACn/yJlNCbg/ThAH04QA8OuyeFuCaKJGUkh+hqPLRWpIVhyLp0PwR2AqOAp4B44I5mjn0K+J3X54rGMoaCX/Bwo/vcYsjLiNejB9x8s0RFVrO+oiiKciJijBgPTj1VLMLPPgtPPgm7dnnyVEclscsmsa1ueKOTrd49uQ0K2wxtNlRnjPkV8CNr7cAm8iwC1lprbz+O72nVobrERJlN1xQJCRJJ9Yor4OKLZXaAoiiKoigeHA5YuFBE1AcfeHwV/YmK8kwWyco6+qWZgiHkQ3WNkAxNeIR5uNYY8x0gF/gA+IO1tlGrkzEmGnzGxhJBKqE16N7dI5yMkWGBXr1kWQRXGjPGI5aqqjxLpyiKoiiK4mHKFEmPPAJr18r6krt2wYYNkrKyfGfYFhfLEkgtzdFohjaxOBljBgGrgTustU81ke8HwD7EJ2oM8FdgpbX2kiaOuRe4p0ULrCiKoijKiUgfa+3BpjIclXAyxtwP3NVMtuHW2q1ex/QGvgQWWWtvDvrL5NjTgYXAIGvtrkby+FucALoSnHXrWEgEDgB9gEYMi0orovUfWrT+Q4vWf+jQug8tbVH/iUC2bUYYHe1Q3d+BZ5vJs9v1jzEmHfgCWAr84Ci/C3Av2DYICCicrLXVQLXf5tYZpwOMZzpcaXPjoErLo/UfWrT+Q4vWf+jQug8tbVT/QZ33qISTtTYPyAsmr9PS9AUyRHejtbaRsHRNMs75N+cYjlUURVEURWlRWmVxAKdoWgTsR8IPpBpj0owxad55jDFbjTGTnZ8zjTG/NcZMNMb0N8ZcADwPfGWtXd8a5VQURVEURTkaWmtW3RxkeG0QMibpjcveFgkMBeKcn2uAM4DbkXhPWcBbwB9bqYzHSjXwexoODyptg9Z/aNH6Dy1a/6FD6z60tJv673RLriiKoiiKorQWuo63oiiKoihKkKhwUhRFURRFCRIVToqiKIqiKEGiwklRFEVRFCVIVDgdJcaYW40xe40xVcaYFa5wCkrLYYy51xhj/ZJ3NPoYY8zjxpgCY0yZMeYtY0zPUJa5I2OMmWmM+cAYk+2s64v89htjzH3GmBxjTKUxZoExZrBfnq7GmJeMMSXGmCJjzDPGmIQ2vZAOShD1/2yA5+ETvzxa/8eAMeZuY8wqY0ypMeawMeZdY8xQvzzNtjfGmL7GmI+MMRXO8zxgjGnLtWA7JEHW/6IA9/+//PK0af2rcDoKjDFXAg8hUyInAOuA+caYHiEtWOdkE9DLK83w2vcwcD5wOTALSAfebusCdiLikXv51kb23wn8FLgFmAKUI/d9jFeel4CRSCiS84CZwJOtVeBORnP1D/AJvs/D1X77tf6PjVnA48BUpO4igU+NMfFeeZpsb4wx4cBHQBQwHbgeuAG4r/WL3+EJpv4BnsL3/r/TtSMk9W+t1RRkQpaAeczrcxhwEPh1qMvWmRJwL7C2kX3JSMyvy7y2DQMsMDXUZe/oyVmPF3l9Nkjk/jv8foMq4Crn5+HO407yynMW4ADSQ31NHSn5179z27PAu00co/XfcvWf6qzLmc7PzbY3wNlAPdDTK88tQDEQFepr6kjJv/6d2xYBjzRxTJvXv1qcgsQYEwVMBBa4tllZRmYBMC1U5erEDHYOXex2DkH0dW6fiPRKvH+HrUiUev0dWp4BQBq+9V2MdCJc9T0NKLLWfuN13ALkxT2ljcrZ2TnVOQSxzRjzhDGmm9c+rf+WI9n517VIfDDtzTRgg7X2kNd55gNJiBVQCR7/+ndxrTEm3xiz0RjzF2NMnNe+Nq9/HYMNnu5AOHDIb/shpAeitBwrEFPrNsQsew+w2BgzCnmJ11hri/yOOeTcp7QsrjoNdN+neeU57L3TWltnjClEf5OW4BNkaGgPkAn8GZhnjJlmra1H679FMMaEAY8AS6y1G52bg2lv0gj8fIDWf9A0Uv8ALwP7gGxgDPBXZNWRS5z727z+VTgp7Q5r7Tyvj+uNMSuQB+cKoDI0pVKU0GCtfdXr4wZjzHpgF3AqsDAkheqcPA6MwtefUmk7Ata/tdbbV2+DMSYHWGiMybTW7mrLArrQobrgycc5juq3vSeQ2/bFOXFw9va2I2sf5gJRxpgUv2z6O7QOrjpt6r7PBXwmSDhntHRFf5MWx1q7G2mPBjk3af0fJ8aYxxCn+tOstd7rqwbT3uQS+PkArf+gaKL+A7HC+df7/m/T+lfhFCTW2hpgNTDbtc1pWpwNLAtVuU4EnNOqMxEn5dVALb6/w1CgL/o7tAZ7kMbHu76TEN8ZV30vA1KMMRO9jjsdaV9WoLQoxpg+QDfkeQCt/2PGGWrjMeBi4HRr7R6/LMG0N8uA0X6zq+cAJcDm1ip7ZyCI+g/EOOdf7/u/bes/1F70HSkBVyKzia5HZrL8GziClze/phap5weRaar9kemlnwF5QKpz/xPI0N1piPPmUmBpqMvdUROQgDRG45AZLT93/t/Xuf8u531+ATAaeBfYDcR4nWMe8C0wGTgZsRC+HOpr6wipqfp37nsAma7dH3mBr3bWb7TW/3HX/T+BImd7k+aVYr3yNNneIL6vGxCH5LHAXMTn7M+hvr72npqrf6TD/Ftnvfd3tkG7gC9DWf8hr7iOloDbnA9RNdKbmxLqMnW2BLyKOAJWAwecnzO99scg4+GFSEyht4G0UJe7oybEV8YGSM869xskJkou0nFYAAzxO0dXxImzFJkG/B8gIdTX1hFSU/UPxDpfCIeRafF7kfhMPf3OofV/bHUfqN4tcINXnmbbG6Af8DFQgXTyHgQiQn197T01V/9ABvAlUOBse3YAfwOSQln/xvmliqIoiqIoSjOoj5OiKIqiKEqQqHBSFEVRFEUJEhVOiqIoiqIoQaLCSVEURVEUJUhUOCmKoiiKogSJCidFURRFUZQgUeGkKIqiKIoSJCqcFEVRFEVRgkSFk6IoiqIoSpCocFIURVEURQkSFU6KoiiKoihBosJJURRFURQlSFQ4KYqiKIqiBIkKJ0VRFEVRlCBR4aQoiqIoihIkKpwURVEURVGCRIWToiiKoihKkKhwUhRFURRFCZJ2J5yMMXcbY1YZY0qNMYeNMe8aY4aGulyKoiiKoijtTjgBs4DHganAHCAS+NQYEx/SUimKoiiKcsJjrLWhLkOTGGNSgcPALGvtV0HkN0A6UNraZVMURVEUpdOQCGTbZoRRRBsV5nhIdv4tDDJ/OnCglcqiKIqiKErnpQ9wsKkM7Vo4GWPCgEeAJdbajY3kiQai/bdnZWWRlJTUugVUlLbi88/hppvgyJGm80VHw623wu23Q3Jy03mVzs/hw/DFF7B/P2RnwyuvQGWl7Bs9GqZNg4QEGDMGpk+Hnj1DW15FCRElJSVkZGRAEKNV7XqozhjzBHA2MMNaG9CKZIy5F7jHf3txcbEKJ6XjU1EBf/oT/OUvYC2MGAGXXgqTJkHv3vJiXL4cdu6EjRth3To5LikJfvxj+NnPIC0ttNegtB3WwurV8O67MG8efPttwzxjx8KuXVBW1nDfNdfIvda3b6sXVVHaEyUlJSRLZzPZWlvSVN52K5yMMY8BFwIzrbV7msjnb3FKBA6ocFI6PJ9+CjffDFlZ8vnmm+HRRyEmJnB+a+G99+B//ge2bJFt0dFw/fXw299Cnz5tU26l7amrg//8R+6PjX7G+QkTYPx4sUCeeiqcdx4UFsJLL0FeHuTnw7JlHtEdEyP3zM9+BsOHt/mlKEoo6NDCyenc/ShwMXCqtXbHUR6fBBSrcFI6NK++CtddJy/Evn3hoYfE0hQMDgd88AH89a/yQgRITJTPP/gBhIe3XrmVtqW6WqxL990HmzfLtuhouOACOPdcmDs3eIvj6tXwi1/AV15zcM46S4Z9zzwTjGnp0itKu6GjC6d/Atcg1qZtXruKrbWVQRyvwknpuOzeDf/4h1gOrIWrr4ZnnoHY2KM/l7Xw9ddw550ynAdidfr+9+HnPxcxpXRMKitFTD/yiFiMALp1g9/8Bm64Abp0ObbzWguLF8PDD4v10vV+GD4cbrsNrrgCundviStQlHZFRxdOjRXoRmvts0Ecr8JJ6VhYC19+KS/B99/3vKx+9CN47DEIO85wa/X18M9/wu9/DwUFsq1/fxFkp52mloSOxMGDYo38xz88Q7i9e8sw7u23Q0pKy33X7t0i4J95Bkqd/rLh4XD22TIcPG1ay32XooSYDi2cjhcVTkqHoapKXoKPPOLxL4HWGx6pqoK33oL//V/Yu1e2DRwIF10E99wjDuVK++TIERErTz4pQ7EAGRlw//1iBYpoxQnSJSXw3//C88/7OptPniw+UzNmwMknQ9eurVcGRWllVDipcDrxqK4Wy0pNDSxcKL49MTEiBhwO8fuYOVOcZI/XgnO8VFTAAw+IFejwYdkWGysOuT/9aes75JaWwl13wdNPQ22tbBs2THxlhurqRu2O996DH/4QDh2SzyefDN/5jtwvxzKEezxs2yb37nPPif+dNyNHioi64gq1ZCodDhVOKpw6F0VF0mBXVUGPHuIEO2+eDDtZK/u2bfMMcTVFly4iDkaNEufZM8+EuLhWvwQ3S5bAjTfCDuechz594Cc/kaGWtu6xl5bKzL2f/UyGgOLiJITBHXdoPJ9QU1UFq1bBs8/KbDkQQf3EEzBrVkiLBsj9smCB+NB9/TVs3eq7f8IE8a279NLWtYYpSgvRKYSTMeZW4FdAGrAO+Im1dmUQx6lw6shYC9u3i4Pq4sUyw8c1rBQsgwfDnDliWSopEb+MggIJIukfuyYmRvLOmCH+IWlpMGCAiKuoqJa5ptJSeO01sfCsWCHbeveWnvtll0FkZMt8z7Fy6BBcdRUsWiSfExJkBt4tt4TeOneiUVQEf/+7DN+67lVjRMz+4Q9iOW2P5OVJp+CTT2RIzxVkc8AAmal3001t20Hp6JSVQU6OWMy7dVPx2QZ0eOFkjLkSeB64BVgB3A5cDgy11h5u5lgVTh2N8nJ45x0ZKlq82DN85U16OsTHy0u+Z084/3wYMkSEVr9+MgSXkCDDco397jU1sGmTBItcskSGQBoTZfHxMHu2BJocMMCTevYMTkxUVYlQe/11ePNNuUaQBvC66+TleKwzn1oDa8WKd8898M03sm3qVPjjH+H003XYpTU5fBg++khCSHz6qede6dlTBP1PftI+rEzBkp8vw9CPPuo74+8735F00kmhLV8g6uul3ouLJTjo3r3SoUlMlGHszMyWD+NhrTj4794t311ZKcP4X38NL7/suQ8SE+UZPO88uPxyXRGglegMwmkFsMpae5vzcxiQBTxqrb2/mWNVOHUEHA4RSc89B2+84WsJio6GKVPglFMkTZnSsrOFXFgLGzaIgNqxQ3r72dnScBYVBT4mPBxSU6VRjY0VcTFpkjR42dmeYcN9+zxOvCAWrO99D7773fY9DOZwyEvv17/2NNzTpskQ3uWXt1+LR0ejslIE9dNPy3Pg3Q6PGCGC9aKLOrZgraiQocYHH4Q9XjGMzzhD4k5Nnnz8YqS6WhzWDx4Uy27v3tIhOXhQlpnZv1/aloQE8cnKzZX72uEQsVRXJ3l275bPjREfL23RySeLu0BqqsxMjYsTy1BamgisxsjLg48/lrZh1y5JO3aIRbwx4uKkDr2JiZF6y8wUn7Jx4yQSvIaIOG46tHAyxkQBFcBl1tp3vbY/B6RYay9s5ngVTu2Z3bvFlP/8876N6cCB0hudM0eESChf0A6HzHL79FNp6PbskZSV5SuGmqNXL7jkEhkGO/nkjvUSzM6WGVv//rdY6kAsew8+CBdf3LGDaForL6S4uLb/TRwOePFFEaY5OZ7tEyaIFfX88+X/jnSvNEddnQzhvfSSzOp0TUiIjpb18i64AM45R3y4GhvOKyiAtWtFEB06JFa6Xbvgs88CLx1zrISHiyAaONDzvVu2eIYem+K00yRY7eLF8jv37i2CrapKLNz+zvQgFujMTLEqxcZK6tNHYnHNmCHnWbtW6u/llz1BTv3p3VtcFAYMkPIPHiyzc9uTVbud09GFUzqyMvF0a+0yr+1/A2ZZa6f45dclVzoC69eLE7LLjwaksbjiCpkdNGNG+39Z1NVJg334sPxfUCDxlzZvFvN5jx4yfDh0qPzt2bP9X1Nz5ORIHJ8nnhAx5SImRoYcH3yw/YcxsFZePs8/L8PBBw/KyzsiQn6zwYPlpX3SSSJwhw5t+d+trk5Ew1/+4gk9kZEhkdyvv17+PxHYs0eGg998M7AYSU2VZyk9XSw4R47I0LF3J8ufnj1h0CARKQcOyDF9+oiI6dtX7s+yMhFFaWnS7oSHy5B7eLh0cAYPlu+Ojm7429fXyzI2CxfKb3fkiIi3vXvlGnr2lPI1ZbECEcRTp4pQcqUhQ4L3pbRWyrFhg1irNmyQ+3rXrsD5o6Jk8svo0VI/LiuVWqcCcqIJp3vRRX7bJ6Wl8nAvWCAL1dbUSKM0Z468LC66SB1GOwoVFeIw/uCDvsMHffvKrK/Zs0NTrpoa8aOJiJCZXQsXysvvnHNk+/vvS9q3L/hzDh4MF14ofiUu37n4+KMXU4cPi6Vh/nzx4XP57iUkSCyt228/cYc+6+tFeHz1lQjKZctk/bymGDRILEE9ekhKS5M4UhMnhn4Sw/798hzU1EiZEhNFxFVVidVo8uTWCzNSUiK+m7t3e6zjq1ZJ2+tPWJgsw3PZZSKohg3TFQScdHThdFRDdWpxakfU1Mhw1sGDMhzxwgvScLg4/3x4/PETp3fdGampEUG8dq1YS3bvlu233iqxoVr7t62uFqvl4sXiRLtihe891hgxMeJc+93vil9ISoo4AmdnyyzO9eth5UpZmqa6uuHxffrINZ5xhlireveWazXG4yu3aJFYIg4eFCGwfbvvObp3F0fv227TYJGByM8XC2dxsQjdrVtFZE6aJNaa1vBz7My4Oq27dsmEmB07PM+rNxkZYokaNUomIcyZc0IK+g4tnMDtHL7SWvsT5+cwYD/wmDqHtyJFRdL45+TI/0VF4tS4fbs0ZBERnnH45GTpmWdkSC9m0yb48MOGzo69e8tDec018tLq6ENXioeyMonV88QTnm0TJkiwxu98p2WtifX1MvPs9tsbDtu4xEtqqgib8nLxfUlMFLF+wQWyPZjylJbK7ML58+VZCPSicdG9uwwDlZR4Zo/5M2qUOBVfdJH4wIQ69IRyYrNjh0zIWbJEfLdcQVW9SUmRCSHDh4sLxemnnxAz+TqDcLoSeA74IbASCUdwBTDMWhvgl/Y5VoVTIOrqRBAdOCApK0senA0b5AVojHxubpy+OWJjxYQ+caJEwe4IvkvK8fHppxJjaMkSz+ywhASZ7TN+vIiWGTPEyhLsvVBRIULptdckrMORI559PXvKcINr1uWQIZ59rvM7HPL/8d57DocnXMY//ynWpIgIeYa8nX1jY2WIZtAgEVQTJ8rLRy1LSnumsFDa/Y0bYc0aGdb2nrQAcr9fein86ldyX3dSOrxwAjDG3IYnAOZa4KfW2hVBHHdiC6eyMhlyWLJEHBldIik3N7gZYcOHy7h3ly7S8+jSxePI6HCIM2RlpfSwd+zwPGSpqdKznzIl9P4GSmjIy5Mh2kcfDezMGx0toictzTf17ClOulVV0gPevl2sPv5TsaOjxeL0v/8rwiyUVFXJy6amRoYBhw9v++VPFKWlcTjk/bFunQxfL1jgO+Tcu7dMoDjnHEmpqaErawvTKYTTsXLCCaeyMnnJLF7sEUuNWY0iIjy+GX36iKPl2LESnK6uTnruAwa0bfmVzkd9vQzdbtggvj7z54uPxdHSvz9ceaX0dvv1EyHfUtHcFUUJjnXrZFLIa695QkmAWHOnT5cO8wUXtM5s1DZEhVNnF067d8PSpeKD8frr4pfhTUaG9AomT5aXT58+sq1HD7UGKaHBZU3KzfUk78/Wiijq0UPu19NOE6fgDtwQK0qnorxcQkN8/rlEuV+zxnf/wIHiWD5zpvj2DRvWoTo6Kpw6m3DKz4fVq2WK6VtvyYwmbzIzxWx68snSA9BZa4qiKEprsn+/TAh6/3344gtPoFwXCQni33jOOXD22dIhasd0WOFkjOkP/BY4HfFtygZeBP5kra1p4lDvc3R84WStjDO/8YYMc2zc6Ls/IkKC9U2ZIrN1Zs3SnrmiKIoSGkpLJRjwggVildqwoeEM6zFjPL5R06a1u4WLO7JwOgu4EngF2AmMAp4CXrDW3hHkOTqWcLJW4sbk5cnyHgsWyFiy/+KzQ4bIDKXTThOfD43+qiiKorRHHA4Zyvv4Y0krVviux5iSImtffv/7YgRoBx3/DiucAmGM+RXwI2vtwCDztz/hVF4us4x27/aknTtlGuj+/YFnu8XHSwyaiy8WsdSJZi8oiqIoJxD5+TJ68vHHsu6ed5T4qVPhF78QAZWeHrLgm51NOP0ROMtae1KQ+VtXOBUUiDqOiJCZaKWlYpIsKRFBtHmzTKO21hOR2D8uRiBciz2OGycWpXPP1eVIFEVRlM5Ffb3MAn/6aVmz0DtSf3i4+OnOni3O5b17S5gPY2SCSWWlOJ+3QiDZTiOcjDGDgNXAHdbapxrJ07ZLrgwY0HAYLRhSUkQYDRwoacAAuTEGDZIIx3Fx7W7MV1EURVFajUOH4LHH4NVXJd5goOWO/MnNldhvLUy7E07GmPuBu5rJNtxau9XrmN7Al8Aia+3NTZz7XgIs8puVldU6wmn4cN9V4qOjZfZAYqKo4+HDRSQ5HDK7zbUydZcuLV8WRVEURekMWCtGic8/l8lRe/eKsKqulvdpbKwEm333XQmc28KUlJSQITPS241wSgW6NZNtt2vmnDEmHVgELAdusNY2GvI6gMWpF7C1keyKoiiKoiiN0cdae7CpDO1uqM5pafoCGaL7jrX2qBZPM8YYIB0obS7vMZIIHAD6tOJ3KI2j9R9atP5Di9Z/6NC6Dy1tUf+JQLZtRhi1K6cap2haBOwD7gBSjXOaorU2N5hzOC+4SbV4PBjPtMnS5sx5Ssuj9R9atP5Di9Z/6NC6Dy1tVP9BnbddCSdgDjDImQ747Qt9oAdFURRFUU5o2tXCZdbaZ621JlAKddkURVEURVHalXDqIFQDv3f+Vdoerf/QovUfWrT+Q4fWfWhpN/Xf7pzDFUVRFEVR2itqcVIURVEURQkSFU6KoiiKoihBosJJURRFURQlSFQ4KYqiKIqiBIkKp6PEGHOrMWavMabKGLPCGDM51GXqbBhj7jXGWL/kvY5hjDHmcWNMgTGmzBjzljGm5Vd9PEEwxsw0xnxgjMl21vVFfvuNMeY+Y0yOMabSGLPAGDPYL09XY8xLxpgSY0yRMeYZY0xCm15IByWI+n82wPPwiV8erf9jwBhztzFmlTGm1Bhz2BjzrjFmqF+eZtsbY0xfY8xHxpgK53keMMa0tziJ7Y4g639RgPv/X3552rT+VTgdBcaYK4GHkCmRE4B1wHxjTI+QFqxzsglZd9CVZnjtexg4H7gcmIUssfN2WxewExGP3Mu3NrL/TuCnwC3AFKAcue9jvPK8BIxEgtieB8wEnmytAncymqt/gE/wfR6u9tuv9X9szAIeB6YidRcJfGqMiffK02R7Y4wJBz4CooDpwPXADcB9rV/8Dk8w9Q/wFL73/52uHSGpf2utpiATsAJ4zOtzGLK8y69DXbbOlIB7gbWN7EsGaoDLvLYNAywwNdRl7+jJWY8XeX02QA5wh99vUAVc5fw83HncSV55zgIcQHqor6kjJf/6d257Fni3iWO0/luu/lOddTnT+bnZ9gY4G6gHenrluQUoBqJCfU0dKfnXv3PbIuCRJo5p8/pXi1OQGGOigInAAtc2a63D+XlaqMrViRnsHLrY7RyC6OvcPhHplXj/DluB/ejv0BoMANLwre9ipBPhqu9pQJG19huv4xYgL+4pbVTOzs6pziGIbcaYJ4wx3bz2af23HMnOv4XOv8G0N9OADdbaQ17nmQ8kIVZAJXj869/FtcaYfGPMRmPMX4wxcV772rz+dQw2eLoD4cAhv+2HkB6I0nKsQEyt2xCz7D3AYmPMKOQlXmOtLfI75pBzn9KyuOo00H2f5pXnsPdOa22dMaYQ/U1agk+QoaE9QCbwZ2CeMWaatbYerf8WwRgTBjwCLLHWbnRuDqa9SSPw8wFa/0HTSP0DvAzsA7KBMcBfgaHAJc79bV7/KpyUdoe1dp7Xx/XGmBXIg3MFUBmaUilKaLDWvur1cYMxZj2wCzgVWBiSQnVOHgdG4etPqbQdAevfWuvtq7fBGJMDLDTGZFprd7VlAV3oUF3w5OMcR/Xb3hPIbfvinDg4e3vbgUFIXUcZY1L8sunv0Dq46rSp+z4X8Jkg4ZzR0hX9TVoca+1upD0a5Nyk9X+cGGMeQ5zqT7PWHvDaFUx7k0vg5wO0/oOiifoPxArnX+/7v03rX4VTkFhra4DVwGzXNqdpcTawLFTlOhFwTqvORJyUVwO1+P4OQ4G+6O/QGuxBGh/v+k5CfGdc9b0MSDHGTPQ67nSkfVmB0qIYY/oA3ZDnAbT+jxlnqI3HgIuB0621e/yyBNPeLANG+82ungOUAJtbq+ydgSDqPxDjnH+97/+2rf9Qe9F3pARcicwmuh6ZyfJv4Ahe3vyaWqSeH0SmqfZHppd+BuQBqc79TyBDd6chzptLgaWhLndHTUAC0hiNQ2a0/Nz5f1/n/ruc9/kFwGjgXWA3EON1jnnAt8Bk4GTEQvhyqK+tI6Sm6t+57wFkunZ/5AW+2lm/0Vr/x133/wSKnO1NmleK9crTZHuD+L5uQBySxwJzEZ+zP4f6+tp7aq7+kQ7zb5313t/ZBu0Cvgxl/Ye84jpaAm5zPkTVSG9uSqjL1NkS8CriCFgNHHB+zvTaH4OMhxciMYXeBtJCXe6OmhBfGRsgPevcb5CYKLlIx2EBMMTvHF0RJ85SZBrwf4CEUF9bR0hN1T8Q63whHEamxe9F4jP19DuH1v+x1X2gerfADV55mm1vgH7Ax0AF0sl7EIgI9fW199Rc/QMZwJdAgbPt2QH8DUgKZf0b55cqiqIoiqIozaA+ToqiKIqiKEGiwklRFEVRFCVIVDgpiqIoiqIEiQonRVEURVGUIFHhpCiKoiiKEiQqnBRFURRFUYJEhZOiKIqiKEqQqHBSFEVRFEUJEhVOiqIoiqIoQaLCSVEURVEUJUhUOCmKoiiKogSJCidFURRFUZQgUeGkKIqiKIoSJCqcFEVRFEVRgkSFk6IoiqIoSpCocFIURVEURQkSFU6KoiiKoihBosJJURRFURQlSFQ4KYqiKIqiBIkKJ0VRFEVRlCCJCHUBWhpjjAHSgdJQl0VRFEVRlA5DIpBtrbVNZep0wgkRTQdCXQhFURRFUTocfYCDTWXojMKpFCArK4ukpKRQl0UBrIW8PFi/Ht57Dz78EAoLG88fRl3A7Q7CAdPkd0VFQUoKhIfL9xoDvXpBv37Qty8MHQqnnQapqRAZeezXpChK+6e8XNqaPn2kLSguljYiNtaTp7oaDh6ETz+VtH8/FBRI+xAWJm1XXeAmiYgIz/mSkyE6Ws5njLRBw4fDrFkweTIMGADx8bJPaX+UlJSQkZEBQYxWmWYsUh0OY0wSUFxcXKzCKUQUFMCWLfDFF/D++7BuHdTWevZHUU0/9jGAPQxkNwPY45O60biqqiSGSmKpJJZiksmnOwV0o4Bu5NOdfLqTRQZ76c8eBpBHKo2JrZgY6N8f5s6Fiy+Gk0+WhlDpXOzcCW+9BV99BatXQ329/PbR0ZCQIGJ61CgYPRomTBCBrXRscnLg3nvhhRegslJ+b4CqKvkbGQkOh9wLEdTSk0P0Iod0sulFjvv/HhwmgTLiqCCecqKooZZIaogK+LeIFLJJ5yC9ySbdnXJJo4ZojIG4OOnIDR0KU6bA9OkwbhzU1ECXLiLWlLanpKSE5ORkgGRrbUlTeVU4KcdNXR1s2iQvpddeg88+E2tPNFWMZBPjWMtY1jGG9QxiJ+lkE0bb3HflxLlF1F76s4tMNjGSDYwmlzT8RVVCAowZI43ZtGlwxhmgt1HH48ABuRdffRW++ebojj3lFPj+9+HSS+Ulp7RfHA6xCOXmwttvw6JFsHGjr0U7imr6s5dMdpHJLgaxk0x20YcD9CKHVPLapD06TCqbGMlqJrKaiXzLBHYwGOs1R8sYsYZPnCgduYkTJaWmtnrxTnhUOKlwanWshaVL4b//lQbryBFLBllMY5k7jWcNUdQGPL6cOPYwgN0M9LM3DSCbdCxhREQ4e4UOOSaSWqetqZI4KkimmO7kO+1NBXQnn1Ty6Mt+BrCnWYGWTzfWM4YNjHanTYyknASffFFRYpk65xwRVV26QGYmDB7s6ckqoaGmBvLzZQgkJ0fuxbffhm+/lXvURUoKdOsG3btL3shIT0pPlyGcTZvEOupw3m/JyXDttXDzzTB+fEgur1PgcMDKlbB7N2Rl+aaaGqnb8eNhyBAZ2howILDVxTX0vmED3H8/zJsHRUWu31nanzGsZwSbfQRSBlmE42iyjLVEkEsaOfQim3SnzakXh+hJKYmUE091WBx1YVFEUIepqyGKGiKp9fnblUIvO5MnRVMT8HtLSeBbJvANJ7GSyaxiEnsYgH+HLj1drFMTJ8o9XF8vHVZrYeZMvT9bAhVOKpxajIMHpfeekwObN4uf0vbtkL+tgBEVq5jEKiazksmspCeHGxyfTzfWMo51jGUdY9nG0IBDaL16wYwZ0suaOVNM1y5fgLIy+e6NG+Xl5vpbUyONh6fx9CWKavqyn/7spT97GcAehrCdUWxkMDsabUx3MdBHTG1gNDsYTH0Al8CwMPFv+PGP4fe/9/WdUFoea2HbNhFG8+eLSCora5lzR0eLWEpOhkOHoMSr6Rw7Fq6+Gq65BsQNQgmG4mK48kr5rYIlOlrEQdeuMnReVCTiuLQUwJJKHsPYynC2MJoNjGE9Y1hPCsWNnrOMeHYyiF1ksttpe9pLP7dQKqCbj+XnaEhMFGGenCwdqfp6GR6sqBDLV1mZpSuF9GU/41nLBKfNaRxriaWqwfny6Ya0rJ50iLQmyzBpkojOLl3kHp08+Zgu5YRGhZMKp2PGWtixAxYuhKeflhdUNFVM4Fu3QJrMSgaxq8GxtUSwjrFeNqdp7KU//r0n1wsqJkZ6UmlpIs6ysmSorGtXeTmFh4tAOnTI93vi4+W4Xr0k9eghDfS8ebB1a+DrMsZXXMVQyQg2+8mjDfQiN+DxlcSwgdGsYyxrGcdaxrGeMZSR2ODa+vWDQYOkXJGR0pAWFkoZrZUXfXGx9BJ/8ANxVj8ev4aSEmm8O7PTqbXw8cdw550ioo+FqCjPhABrJdXV+frfNYcxYmm89lr4yU/kRRUMru/q6BMSHA65l2trPSk5WZywu3TxHdbetAkuv1z8HWNixGKSkeFJLl+yFSvg3Xfld62vl20R1JLJLoaxlaFsYxhb3akLRQHLVksEWxjOJkayJ3wwxamDqM7IpCBlEMt392DnLt8HJCUFTj9dnsOMDPFzS0yEr7+G5cul3Pv2yXBtfLzkj42V37GqyuMjVVMj9VBfL8m13fV/ba08o+Xlvm1QOHUMYysn8Y1bIo1jbUAr/X4y3CJqJZNZzURKSG70dzr7bLjlFvHfjI5u/ndVVDidsMKpqkoe+NWrxUG7sFD+VlVJg+ZwiDgpL5fGIDZW/kZGSgORny8iJbyqjFNY7E6TWRnQ1LyNIe4HeSWTWcs4qunYY1fdyG8gpkaxkQTKA+bPpxtZZLCfvgH/ZpMe0FLlzYgR8NOfwnXXeXxqrJXfIztbfqfUVM9L+tAhWLBAhOLSpbBnj7zM33kHRo5sydoIPTt3wn33wQcfiOWhKSIjpY6GDoUrrhDrZbdu8mJPSBAh7qKgQKwgixdLR2HbNjhyRCwFDi9DZFyczJJyvdC9CQuDCy+EX/+6YQ+/slJ+m+XLRRgsXy7fOWyY/Ebp6TIkNX68WAq6dWvfTsGlpfDvf8Mjj4gVujF69RIBUlYm1+1wiPXor3+VjkR5udyr3WLKeeGenexdsJPuRTvJYD9p5JJGLr3IIYMsIhudXWvYS3+2MZQNjHbam8awjWEMGBrFsGFiFd+2zfe3DA+XsvXrJ2Li8GERRxUVkq+iomXr7FiIopoxrHcLqcmsZDhbArocrGMMCziDBZzBYk5p4GIAYrHLzJQ2JiVFfoPx42HgQNmfkiL3oU6KaWfCyRhzK/ArIA1YB/zEWruyifyXA38A+gM7gLustR8fxfedUMKppEReoi+/DB995Jk1cjREUMskVjkfwQVMY1mDRiuXnixnqnsc/htOogh5k7t64aNHy7Rfl7Xo8GF5yR8+LL0yY+TB7dPHtxcUESH+DZmZ8sLJzxeBV10tD3y/fh5rirVyzTk5DVNRkVhyHA5JpaWSHA6PhcEY+e7wcOkJVlQ0b3EwOMhkF2NZ57Q1ibN7RhDhwuoJI5t0ssjgAH18/m5nCNsYSg2eyjBGkiPAKGJ8vNRVcSMjEomJ4hB99tnNFqvdYa0I/m++kbRzp1gs8vMbPyYhQYRIba0MIfs3Zd27y4shMVHyTp0qPfD//hdeeSVwHQciLEyGkUeNkvvz669FbHkzcqRYGV3W0y++OLoXcUSEvMwmTJBnKS1NhqxHjQr+HK3F5s1w7rmwd+/RHxtNFcPYyig2ujsho9hIP/Y3e2wZ8WxjqJetSdJOBlFFcGPiMTGeTmNT95KLiAhPJ6WyUlJaGvTsKW1GbKzccwMHemZmRkeLaA8P901hYQ23RUV5jomIkHu3qkpEdXGxWLPy8kRof/SRdGgTKGUC37qF1CRWMYC9PuWuJYJlTGMhs1nAGaxkMnUEZ96MjJS2d+hQub7qarnvLrpIRFZntmR7026EkzHmSuB54BZgBXA7cDkw1FrbwCHGGDMd+Aq4G/gQuAa4C5hgrd0Y5Hd2euFUWSlC6ZlnxOnSuzecliaNfO/eMuQVGys9xL17ZRhr+3Z5wcRRzvl8wJW8xmwWkuQXumIP/VnEqSzmFL5iJrvIxDXk5ppOO2qUjK1ff70Ioo7KkSPw5Zdigdi7V+pr+3ZpQJoiiWIyyKIv+91/vf/vw4FGneNd1BHODgazkVEsZTpfcBrrGdOsv0V6uvjcnH229BhvvFGm24eFwcMPyzBSR2jwqqrg9dfhgQfEdy0Y+vaFhx6CSy7xXOPGjeLvtHatWHr8h3cD0auXxNiZNEleHL16Sf2tWydD1IsXiyOyP9HR8r3NdVJ695ZncepUGabq00fOt22bzALbvl3EYlZW4+eYPFlSz55yjhkz2taPbsECmV1YUiICpKTJ1wlEUsMUVjCbhZzBAqawolHLUT7d2MkgdjKIvfQnh15Om1Ma++nLAfrQXNy2o6VXL+ngudLIkdJOgoillJT29dxYK53OrVvhySfFhWLfPkisOsxpfOHu7PoLqVIS+JJZfMYc3ucC9jLAZ390tFx3UZG8TxqjWzdPuIRRozwx8Doj7Uk4rQBWWWtvc34OA7KAR6219wfI/xoQb609z2vbcmCttfaWIL+z0wqn8nJ4/HF5yXj3njIzJQ7RNdd4nKp37YJHH4X//MflVCmN2pl8ytW8woW85zP8lE83d29lIbPZw0D3vu7d4aSTxB9n7twTY4q2ywLyz3/KyyMvT16UYWFSHz17Sk+tslJe0sXFImC9fakMDtLIJYMs+nDA529f9jOcLQEdWgvpwiJOZT5zmcfZZBE4sFBkJJx5ptwTvXrBj34kvzeIf8P//V/78alxOETU7Nol9+Nnn8EnnzQ//OZNbKyIiDlzxDLTq5c8B6++Cs8+G3g4LVj69JF7fNIkSYMHizXgyBF53hYsOLqyuqxUU6eKJSozU1KfPr5DhiDfk5srlp01a0RI7d4t3+kfeDEmBs46S6wB/fpJHQwZ0jov+6eflvuovl7uo8CWWctoNriF0iy+bDCsXUgXNjDaaWsaxQZGs5kRHKFrs2UIDxdrYVKSPH95eZ59qali3a6slKCV5c6vDQsTS8lJJ8mz6ho+HDVKhEBnYf9+ePBBGcY2e3dzBguYzUJms5DuFPjk/ZbxvMWlvM0lbGU4IPfM3LkysSU6WqyodXVSf19+Kc9nue9PiTFyT593nqTRo9uX0Dwe2oVwMsZEARXAZdbad722PwekWGsvDHDMfuAha+0jXtt+D1xkrR3byPdEg9dYh6w1c6AzCaeVK+G552QYpsD5PPTrB7feKjNWXE6WDocMETz2mETotlZe3nNjvuLiqpe5lLd8gkvuZgCvcDVvcSlrGedj5Rg8GG66ScRS1+bbtxOCggLxlwnkD2CtvFiiosRv4qc/lRdfYyQmwqBMS3RBNklZmxjHGmbxJaewmER8p4ntiRvBB7Vn817t2SzmFGqJanC+qVNFQH3+uThQWwuzZ8s9E4qXRUmJRIhfulQsLEuWNN2zBUsPDpNBljsAoX/qTj6R1BJJLRFOK0YVMT6pgjgqiKOSWKqIaTJYYT3h1BFBPeHu/+uIoJJY9znKiac6PJ7qyAQKaxIodiRQRgKVxHIs1pCoKLEQZmZKaIvzzpPfzl9MgQjyd98VIbVvnzzbgfyL+vSRUBkzZsjsv+RkEQtRDW+TZrFWLJf/939iwQtEH7KYw2fuF7X/bNo8urs7YZ9zeoPp9f37i1B0WewGDYLvflcc7o2BVavk7/jx0iF5/XX417881q4LLhBfqwFeRhRrPcI2JubEm926c6c8+59/Dgs/c9CncB2zWci5fMRMvvKZQbyFYbzOFfyXG9lHf0A6gi++KHHrXNTWipBftkwsut98I50fb/r2FRF/551iYe3IHI1wwlrbKglZM84C0/y2/w1Y0cgxNcDVftt+DBxq4nvudX6PTyouLrYdnS1brL3gApd3jqSBA6199llra2s9+XJzrb3/fmszMz35kjli74x8yO5koM8JskmzD/MzO5nlFhy2Vy9rIyJkd1KStbfcYu0331jrcITuujsLn35q7eTJvr+ff+rb19q//tXaa6+11hhrI6ixk1lu/4c/2sWcbOsI8zmgMjzefhhxof0B/7IZ7Gtwvq5drb38cmvj4pz3QbK1991nbWlp619vaam1zz1n7fnne+6pQCmSajuGtfY7PG8f4Jf2U86wh0htuqLaWarH2BIS7DYG20840z7BD+1d/MVewat2Eitsdw5bcAR1utRUa2+80dp33rG2rKzx+nU4rF271trf/Mbak0+2dtgwa2NjA5+ze3drX301+N+uvt7aRx+1tmfPhudKoMSex/v2H/zEbmFogwxlxNmPOcv+ggft+f3W2gf/Vm+ff97au++2tn9/T9aMDGtTUjyfJ0+2duFCua6KCmvXrLH244+tff11a3/2M2v79fP9qhEjpI6UpnE4rF28WNqUmBhru3PY3sTT9kPOsdVE+tzD85hrL+YtG0GN/NYJcn8dOhT43AcOWPvvf8sz7n3vxcbKcdnZbXutLUlxcbFLPyTZJrSNtbZVLU7pyEJ50621y7y2/w2YZa2dEuCYGuB6a+0rXtt+DNxjre3ZyPd0OotTfb34cPzv/8r4dng4XHWV9MpOP10sHtaKRePJJ6VXWlcn1qU5kV9yfd0zXGzfcscIKSKZN7mMl7mGL5lFZHQ4/fuLE6vLFHv++fD88zLGr7QsW7aIxfCRR5r2m4qN9fjOuByXu1DIHD7jbOZxFp+Qhq/zzpawEXzkOJsFnMEKprgd9v1JSYG//AV++MOWN63v2QN33y2z+mr8Jl92J88ZwcuThrMloO+XA0MuaT4BCF0pm3TySKWaaLdlCCCaamKocgZFleCoSZEVZKZVMGVCDVPH1xAfVQs1NdRW1FJeVENdRS11FTXU1dRTU1FPUX4dhXn1VJbVU1dZQ2RdpTvQagJlxFNOPOWIrSnw7MpAlJLAZkY0iAmWj8dJJCLCdzguOlqGT664Qhyym3seKyvFEvX552Ld27FDLDOu32HsWPHdmThRrKBJSfLcHzkiMza/+UYsS7t3e86ZSAkTWc0MvuZMPmUqy338lOoJYyWT+Yw5LOAMljOVUeOj+Oc/ZZhz4UKxen/wgeeaEhM97gX9+4ulrbBQ/Mny82UCSaBXUWysDE1+97tiaWrPMw/bI+XlMuT22WcyqSFrUzHn8SE38Cxz8JjEc+nJs9zA09zMLgYBnokUvXoFPndlpfzW998vFmWQ+/mqq8RiGWyojvbCCTVUF+AcHdrHKTdXnH4XLZLP55wDf/+7zOQAEVVvvikvwXXrZFtvDnBz+LNcV/9fMvG0gBsYxaP8hBf5DvVRccTFNfTTyMgQR+Jf/lIbpdZm/36ZWv/KK8c29dngYBxrOZt5nM08prGsQRDPzQxnGdNYyzi2MJytDOMgvfEeKomJkVlBp54qL7G0NHGSHTxY/EmCEVYOhwyf/OlP8gKOoJZhbHUHI3QtsZNOTsDji0hmPWN8JNUmRlJJnDvOV63oHWpqPDFxjgXX7Ka4ODlvXZ3Uf12dx6ejrq6h6AuEwUEcFSRQRiKl9OGAO7jqAPa4/28qan0uPd2+Pq60PWIkNRFxPg7nYWEieGbPlnTyyb5DUNZKe7Ftm/wGdXUiUuLj4amnRLg017yncKRBLKGhbGtQ9p1k8hlz+JQz+YLTKCaF9HTpcF15pQixjz+Wl3Rj4QoiIjx+gYHo0kVcEBISZPjuoovEn+1E8KlsKwoLReR8+CGsfWsXFxY8w038x6dDtpDTeZIf8C4XUUM0XbrIBKCLL5bhYP/3hLXSaXroIY+A6t9fhlgnTWq7azte2oVwArdz+Epr7U+cn8OA/cBjtnHn8Dhr7fle25YC6+0J4Bz+9dfS08zJkcbvH/8QPyNjpOfw8sviqLpjhzh6X8j73Mh/mMt89wu0mCRe4Wr+w02sYhJxccbnJR0dLY2da4bO5MkqmNqasjJxaP7b3xpOawffcAlNhUpI4Qhz+Iyz+IRTWMxgdgbMV0qCe1r3JkayjaEcpgcFdKOQrhTS1T112Ri5HyIiPFOoo6Pl5ZWaCuGOWqp37KdH2S5Gs8EtkEawuVEr0k4GNRBJ++lLS8+Yak9EUc1Adrun4bvSQHYHFFQODLvIbGCd2skgHHgcoMLD5bcxRoReMGIygVIGs6NBGsL2Bk7ELvbSj5VMZiGz+Yw57skixohj/g9/KL5VX3whExIKAp8mINHR4r90xhnSBqWlSerRo/M4GncUKirgrVdrWXL3h1xw+CnO4hP3/ZlHd57jep7i+2xnKCDWpwceEOtfYmLD861cKZOUdu0SH7uHHhLn847wu7Yn4XQl8BzwQ2AlEo7gCmCYtfaQMeZ54KC19m5n/unAl8CvgY+Aq4D/oZOHI6ithT/8QXrvDofELnr7bXEg/eorz2KlJSWWCXzLtbzEdbxAKp6pdV8yk2f4Hm9yGZX4dtGio2VK6dy5IsQ663TSjkZ9vZi6P/xQnPn3NxLaJjLSs8bakSONv6RSOcxUljOV5YxgM8PYyiB2EkHz081KSHQLqWKSqSQWi3GvwRVNNb05SB8ONLpUTTFJboHkCkq4kVEBA/M1hzFieejSRe7XxEQRbzExIh6Sk6Wn66oPV6BXbyorxbnYFdXZFd+rMbp2FUftc8+V2UJDhsjL3BVdvLLSM/MtPFysIykpsm33bnHgPnBALC6HDzeckQQSBmQkm9wxjVwSKdByRQBVRHOQ3hyiJ4foSS5pHKIn+XSnhii3U7vFEEEdcVTQnXwyyHILpMai4bvIphdrGO+zxEcevvFFIiNFsDXt4O9LVJQMFU6ZIvXZt6+IraFD289sT8XD1q3wh5v3MWTJf/gez9AHj+nwS2byFN/nHS6mgnhAftszzpCQHjNmeIbmioslPMo778jna68VcX0skxXaknYjnACMMbfhCYC5FviptXaFc98iYK+19gav/JcDf8QTAPNO24kDYObkwGWXiX8CiFq/+moxs7/zjky/HcpWruJVruYVhrLdfWw2vXiO6/kPN7GTwQ38JSZMgO99T25cuR+U9kxpqQx3uOJzNRboEhouIdMYkdS4l64YzhZGsJnB7KArhXSjgBSKjnpl+Epi2MMANjHSRyjtox/NWZHCwkSMVFR4Zkmde674SQwYIAKnrMwTcLClqaqSF8SOHSJ6evYUa0e3bi3/fQ6HZzjwk0/g+9+XoRJXBOvu3UX45eaCyTvMsNoNPgN4I9lEPC0TzjqP7mxnSAO7004GNVg26FhJS5O4YpdcIm1PWppaszsi+fnw+ad1LP3dJ5y+60nO5SN3Z6mCWD7iXN7gcj7iXLeIcs2CPP98GWIdM0ZGTO68U+7/s88WF5P2POzaroRTW9ORhNPy5RJcLjtbrAmTJsl0z+IiB5NZyYW8x0W8y3A8C7BVEsMHnM8LXMc8zobwCAYNEgHmehHdeqs463b06aEnOpWVEk/lpZdkSvD+/Ue3rlowhFFPMsV0o8A5aFdIMsXEOV/Ysga8TN8/RE/2MIBc0ggPN6Smii/K6NFyr7kiIScnS++za1fpZZaUyAt02DCZYn/JJSIgkpJkcsOVV7bsNbVXcnNlWR1XmIoRI+CJJyRCuIu6OhF2X30F77zl4ODSfXSpyiaNXKfN6RBp5NKNAqeLfB3h1GOw1BJJFTEU0I0cevkIpGJSmixbeLi8/PzjRjVFz57iJ3fqqRIYsbXiSSmho6AAXv7bASoe/y+Xlj/ns0ZpBbHuAJsfch6H8czf6tdP3m3DhsHPfiZt2bRpMpGpvQZLVuHUzoWTwwG//z388Y+eoYNUDnMmnzKX+ZzJpz6m+xoi+Yw5vMLVvMeFlJFIXJwMX3hHSE5LE0fya65p4wtS2gRrRTytXClRrdeuleQKcNoYrmVcXI96sI98RIQInuRkafRGjRIxNGWKDP0erTXhnXfk3qyqkk7Ca6/5xuI5EbBWZq/ecYdnltn118uMy8Zm0OXnexyvly4VK3RlZfC/Y0sQEyPDMaefLr/9sGHqk3QiYS18s8ry5m/W0H3RG1xS97rPRCQHhhVM4X0u4GPOYQOj3XEBx43zBL7t1w/ef18sUu0NFU7tRDhZK8Jm3TqxGKxYIUsuZGdDii1kJl9xKos4lUWMY53PsSUk8hHn8i4X8QlnUUIy8fESDXfgQImUbK2Ip2uukeG46dNbZ3hDab/U18vyIDt2iNWxrEySa623nTsbf8GGhYm1aMoUmVXXv7+EFnjySfHbcREZKZMIXNaF6dOPzuReXy8dhT/8QT5fcIHMLGzPZvvWprAQ/ud/pK6tFYvds8/6BiBsCmvFGuCyQq5bJy+k9et9l3BJThYfx5gY+R3Ly+UFZq38/q5IPMnJYkHq2lX+Hz1aLGJxcbLtpJN815dUTmwKCyyrnlnP1gc+YFr++0xmlc/+I6TwNTP4ipks5hRWM9E9ASUyUkIW3H67iKr2MpyrwikEwqm2Vl5e334rs+OWL5fPFRWy0OU41roXaJzEKoaxrcE51jCO+czlE85iKdMxUVGMGycz7UpLZYpxdrYn/803y6yFQLMbFAXEMrFjhwwTFRaKhTMyUobYhgyRIWJ/6uvhrbfEaf2LL8Th2RuXkJoxQyxRQ4dKT9I/WrO1cvw998gzARL64qGHdDV2F0uXwg03yG9kjIjLu+8O7mVSWirDuE88IYLJmxkzxG/s5JNbpdiK4qa2Fla8k82y33zIyJ3vMTPAsjsVxLKMaW4RtYXhElE+LJx+/WS4eswYmRA1fryEyWlra6YKp1YUTtdeK6bzmBh5Ee3YIT0/8Q2w9OGAewXwUWxkDOsZxcaAC11uZrjT3nQqXzKLI5E9GTBAZr8NGCCLgC5fLlYq1zpcsbHysrr1VvEVUZTWxFqxQi1aJCmQkHKRliYNXmKiPA/btnmGkmNixLpy3XVtVfKOQ3k5/Pzn0jECid10xRXiNzRmjK+lp7paxNabb8ILL3itQxkpw5+zZ0sbNXRo21+HogA4auqYf/8aVj28mDFFX3EKi32W+nJRRTRbGcZmRrCF4WxmBJsZwU4GUW8iiYkRa2ePHjKM7fLDe+EFsY62NCEXTsaY/sBvgdOR2XTZwIvAn6y1jYaZc86ym+W3+d/BxnBynqNVhdMV5nWSKSaKGpIppjcHSSeb3hxkKNtIJnB9H6KHz3TfVUzyiSDcHKNGwa9+JY60ajJXQoW3kFq2TNYV2727cT+r6GiZTfarX3nWVFQC88wz0iHyji4fESHWvPR06aDt3u0bdmHIEFmI9/rrdU1JpX1SUuTg0R9vofiDrxhTtoRRbGQYW4kh8DIKtUSwm4HkkkYeqRymB4V0xRXPf+Cfbua2/2n5d3t7EE5nAVcCrwA7gVHAU8AL1to7mjhuEbAd+J3X5ormLsLvHK0qnPabvvQlq9H9tUSwjaFum9MmRrKaiWSRgfdU7fBweZGkpUlDWFMjPXWXH0J8vPieTJkisWX69GnxS1GUFsEVT2nPHolhVOZco3jwYBg+XOIxKcGRkyMzjz74QCYBBIrZ1bOnRNS+4QZx1lYHbaWjYK34Tz7y93o2vL+H1IItTjvTZne4lOaWNfrlVQf5+yvpLV62kAungF9kzK+AH1lrBzaRZxGw1lp7+3F8T6sKp2fM9+hOPjVEUUYCB+ktAerC0jkYPZDtZihFFZ5IXz17woUXyhBFfLyIot69ZUhD/TwURWkMa2VYdM8e8W3s3l0c+DMzVSwpnQOHQ4IA3303rF4NLneXQewklTx6cJhU8ujCEed6lBVU/+Pf3PTTlu+NtVfh9EfgLGvtSU3kWQSMREwzucAHwB+stUFHgWtt4fSLX0ijlZEhVqNNmyTWzlZPqCUiIiSo5Y9/LE6a2sgpiqIoSuNkZ8Ojj4oP38qVvkPS6emSUlJkSLs1hv3bnXAyxgwCVgN3WGufaiLfD4B9iE/UGOCvyFp3jbpBG2OiAW+vn0TgQGsJp/79ZWkFf8LCxGn7iiskpaW1+FcriqIoSqenpASee04cwVf5RjogK6t1XFdaTTgZY+4H7mom23Brrdv+Yozpjaw/t8hae3PQXybHng4sBAZZa3c1kude4B7/7VlZWa0inGbNEvO5wyHLNLhi28yY0XgAO0VRFEVRjp59++CbbySI5p498PjjrRP7qaSkhIyMDGgF4ZQKdGsm227XzDljTDqwCFgO3GCtDWItb5/viwfKkCG++Y3k8bc49QKvNUoURVEURVGCo4+19mBTGY7KPdlamwfkBZPXaWn6Ahmiu/FoRZOTcc6/OU2UqRo88xqNMaVAH6CZhSiOmUTgQCt/h9I4Wv+hRes/tGj9hw6t+9DSFvWfiLgKNUmrzOtyiqZFiL/SHUCqcXpIW2tzvfIsBL5rrV1pjMkErgE+BgoQH6eHga+stev9v6MxrJjQmlSLx4PxeHqXHk2YBKVl0PoPLVr/oUXrP3Ro3YeWNqr/oM7bWhPi5wCDnMk/zrDr6iOBoYBrxaoa4AzgdiAeyALeAv7YSmVUFEVRFEU5KlpFOFlrnwWebSbPXrwiQlprs2gYNVxRFEVRFKXd0E7WJe5QVAO/h0bixSutjdZ/aNH6Dy1a/6FD6z60tJv673SL/CqKoiiKorQWanFSFEVRFEUJEhVOiqIoiqIoQaLCSVEURVEUJUhUOCmKoiiKogSJCqejxBhzqzFmrzGmyhizwhgzOdRl6mwYY+41xli/5L3+YYwx5nFjTIExpswY85Yxpmcoy9yRMcbMNMZ8YIzJdtb1RX77jTHmPmNMjjGm0hizwBgz2C9PV2PMS8aYEmNMkTHmGWNMQpteSAcliPp/NsDz8IlfHq3/Y8AYc7cxZpUxptQYc9gY864xZqhfnmbbG2NMX2PMR8aYCud5HjDGtFacxE5DkPW/KMD9/y+/PG1a/yqcjgJjzJXAQ8iUyAnAOmC+MaZHSAvWOdmErDvoSjO89j0MnA9cjsT+SgfebusCdiLikXv51kb23wn8FLgFmAKUI/d9jFeel4CRSPDb84CZwJOtVeBORnP1D/AJvs/D1X77tf6PjVnA48BUpO4igU+d66S6aLK9McaEAx8BUcB04HrgBuC+1i9+hyeY+gd4Ct/7/07XjpDUv7VWU5AJWAE85vU5DFne5dehLltnSsC9wNpG9iUjUeYv89o2DLDA1FCXvaMnZz1e5PXZIGtF3uH3G1QBVzk/D3ced5JXnrMAB5Ae6mvqSMm//p3bngXebeIYrf+Wq/9UZ13OdH5utr0BzgbqgZ5eeW4BioGoUF9TR0r+9e/ctgh4pIlj2rz+1eIUJMaYKGAisMC1zcrCxQuAaaEqVydmsHPoYrdzCKKvc/tEpFfi/TtsBfajv0NrMABIw7e+i5FOhKu+pwFF1tpvvI5bgLy4p7RROTs7pzqHILYZY54wxnTz2qf133IkO/8WOv8G095MAzZYaw95nWc+kIRYAZXg8a9/F9caY/KNMRuNMX8xxsR57Wvz+tcx2ODpDoQDh/y2H0J6IErLsQIxtW5DzLL3AIuNMaOQl3iNtbbI75hDzn1Ky+Kq00D3fZpXnsPeO621dcaYQvQ3aQk+QYaG9gCZwJ+BecaYadbaerT+WwRjTBjwCLDEWrvRuTmY9iaNwM8HaP0HTSP1D/AysA/IBsYAf0XWub3Eub/N61+Fk9LusNbO8/q43hizAnlwrgAqQ1MqRQkN1tpXvT5uMMasB3YBpwILQ1KozsnjwCh8/SmVtiNg/VtrvX31NhhjcoCFxphMa+2utiygCx2qC558nOOoftt7ArltX5wTB2dvbzswCKnrKGNMil82/R1aB1edNnXf5wI+EyScM1q6or9Ji2Ot3Y20R4Ocm7T+jxNjzGOIU/1p1toDXruCaW9yCfx8gNZ/UDRR/4FY4fzrff+3af2rcAoSa20NsBqY7drmNC3OBpaFqlwnAs5p1ZmIk/JqoBbf32Eo0Bf9HVqDPUjj413fSYjvjKu+lwEpxpiJXsedjrQvK1BaFGNMH6Ab8jyA1v8x4wy18RhwMXC6tXaPX5Zg2ptlwGi/2dVzgBJgc2uVvTMQRP0HYpzzr/f937b1H2ov+o6UgCuR2UTXIzNZ/g0cwcubX1OL1PODyDTV/sj00s+APCDVuf8JZOjuNMR5cymwNNTl7qgJSEAao3HIjJafO//v69x/l/M+vwAYDbwL7AZivM4xD/gWmAycjFgIXw71tXWE1FT9O/c9gEzX7o+8wFc76zda6/+46/6fQJGzvUnzSrFeeZpsbxDf1w2IQ/JYYC7ic/bnUF9fe0/N1T/SYf6ts977O9ugXcCXoaz/kFdcR0vAbc6HqBrpzU0JdZk6WwJeRRwBq4EDzs+ZXvtjkPHwQiSm0NtAWqjL3VET4itjA6RnnfsNEhMlF+k4LACG+J2jK+LEWYpMA/4PkBDqa+sIqan6B2KdL4TDyLT4vUh8pp5+59D6P7a6D1TvFrjBK0+z7Q3QD/gYqEA6eQ8CEaG+vvaemqt/IAP4Eihwtj07gL8BSaGsf+P8UkVRFEVRFKUZ1MdJURRFURQlSFQ4KYqiKIqiBIkKJ0VRFEVRlCBR4aQoiqIoihIkKpwURVEURVGCRIWToiiKoihKkKhwUhRFURRFCRIVToqiKIqiKEGiwklRFEVRFCVIVDgpiqIoiqIEiQonRVEURVGUIFHhpCiKoiiKEiQqnBRFURRFUYJEhZOiKIqiKEqQqHBSFEVRFEUJEhVOiqIoiqIoQaLCSVEURVEUJUjanXAyxtxtjFlljCk1xhw2xrxrjBka6nIpiqIoiqK0O+EEzAIeB6YCc4BI4FNjTHxIS6UoiqIoygmPsdaGugxNYoxJBQ4Ds6y1X4W6PIqiKIqinLhEhLoAQZDs/FsYTGZjjAHSgdJWK5GiKIqiKJ2NRCDbNmNRatcWJ2NMGPA+kGKtndFInmgg2mtTL2BrGxRPURRFUZTORR9r7cGmMrR3i9PjwCggoGhycjdwj//GrKwskpKSWqtciqK0V6yFgwdh82bYtAmqqyE6GmpqoLwcDh2CI0egf38YPBiSkiSNHg29e4MxzX5FbS2sXAkLF8K8efJVgYiJkeQqlsMhqb4eqqoCHxMZCTfcAL/4BaSnH1MNKIpylJSUlJCRkQFBjFa1W4uTMeYx4EJgprV2TxP5/C1OicCB4uJiFU6K0tmxFrZtg08+gdWrYcsW+VxWdmznS0mBLl1EQJ11Fpx3HowZ4xZTeXkiaN5/H0pKPIdFRUnW886DGTMgLQ3i4iA8vPGvysqCzz6DnTvlvPn5sHcvrF0r+6Oj4ZZb4Ne/lvMpitJ6lJSUkJycDJBsrS1pKm+7E05OH6VHgYuBU621O47y+CSgWIWTonRisrLguefgxRdFKPkTHg5DhsC4cWJNqq4WdRMXBz17ijjauRN27ICKCjh8GDZuFFOQP337Ys89j439z+Pi/zuNXQfFhNS9O5x5puirc8+Frl1b5tK++AJ+9zv4+mv5HBsLP/oR/O//SrGVjkdNjQjjpCSIj4fiYigslN8zJSUoI6fSynR04fRP4BrE2uTdIhZbayuDOF6Fk9Lq7N0Ly5eL1aGsTEaACgrkXVxaCj16QN++MvozejSMGCEvQOU4sBYWLYJHH4X33pMxLxBBNGuWpBEjYNgwyMyU7UdDZSXs3i0/4Pr18OGH2AULMJWeZieHNP7Z8z7mvnoj02dGENZKAV2slWHA3/5W7jOAAQPgnXdg7NjW+U7l+Dl0SLT8li2Qne1JeXmePOHhvvo8Olpu2aFDRdNHRkJODoSFSduRmSniatQotTy2Jh1dODVWoButtc8GcbwKJ6VV+P/2zjssyiv7499Lb1JEVAQEFKWIIuhiS2LDNTGLNbZgS2LKriWamOJu1pKyRrObmOKmrFk1JsassfETeyJWRB0FNSKWUBQpUpQmbTi/Pw4zzMAAAwIDeD/Pc5935q33ve8t55577rn37wPffgv8979sOlMfjIwAOzveurhw4zd4MBASwpWliYkUrKpRUsIC0r59LJn+9pt2wg8bxsZAEyZwV76R2b4dWDLvAfzSf8WfsAdjEQ4X3OGDPXoAS5YAs2ZVGjE1AUTAgQPAvHks01laAl98ATz3nNRStBQUCuDgQeDUKR4xLivTfZ4Q/D1VWFqyrK4vxsbA+PGcF4YNk9+/sWnVgtPDIgUnSWPy4AGwfj1XiJGRPKoDcCXWvz8LPTY2rH63t6/sHaanAzdvApcuccjMrPtZAwYAYWFcKfr6sjD1yFFUxGNUO3YAP/+s3VUHOKFnzQLmz2ftUhPx66/AqFGs1OrRA3j/feDpUSWw/u5L4L33WL0IcAZ49VXghRdYzdhEZGcDzz7LQhQAjBvHAnxjDQ9K9KeggO3QrlwBNm8Gjh/XPj5wIDBmDHeQunSpDO3bc32SkwM4OrLgVFQE3L7N97p5k7N7SQmfX1wMxMbyPIe7d7VHpH19gb/8BZg5kztkkodHCk5ScJI0AmfOALNnA1c1nFv4+XE7OXmy/vYmRCxI3bvHKvqbN4Hz59mW5dQp3T1UGxuuFOfN42e26d7lgwcsJG3axEJTcXHlsc6dOSHc3FgiDQ3lbROSnAz068fCblgYCyhao375+SxNf/wx21oBrEocMoRVAuPGAd26NfpHUyr5kX/7G8/q69OHjcubUF5rM5SUcDmzsmrY9WlpwJYtwK5dPHRaWlp5zNSUs+WQIaxB7tOnUaJcjUuXgH//m4W1ggLeZ23NQtof/wg880yTF402jRScpOAkaSDl5axd+uILHiECuO1+7TWuFPv2bdz2sKyMK+HsbJYddu5k1b/mpLB27Vh48vMDgoK4XeZZs62Y8nKWHjduZKOQ+/crjzk7s7X1hAms9jE1bbZoXbkCTJzIvfugIJbjahxCLS0FfvyRba7OndM+Zm0NeHmx3dWwYXwTBwdWU9Y21U4PLlzgxjItjW1jtm6Vdk81cegQCxuHDrGw0aULa4JsbVlZ6OEBuLtXbjt25PJ35gyfn53Nv2NiKk3qAL5P795AcDDw8st8z+YiN5eFp3Xr2JZKhZ0dsGgRD+O6uzdffNoKUnCSglPrIi2NG56LF9nq+s4dHhNTBWNjbkw1dd5WVtwwDRzIv5XKejVI9+6xucylS/zYvDyuTA8cYI0QwAJSWBjw6afNOyRSXg4cPQqsXQvs3atbIzVgADBpEjB1KhuhtwqUSh4D27yZpVLN8UsPD2DuXH4pb+9mV7Hl5AAbNvBstoICwNWVhSa9G6DkZFZH7NoFHDume3YewPl47FjOu506sX2UkxNLQJ066f3e168DI0eywsvICHjpJWDNGhayJcz337PGWFPgeRgGDeLh0qeeaoBCkYiHdwsKuE5LTOQxOGNjtg7XDHZ2/ABHx1ofQgRER3Od9dNP2kJUQABnswkTgMDABr/yI0WbEJyEEPMAvAGgM4BYAAuI6Iwe10nBqaVCxF24xESe+n3uHHcFdU0n1xcTEw5FRWyMMnIkzxM3MQFcXKDs6olrpZ44dcsNl+NN1fbFd+7UfEt7e+D553kKuJdXw6PWGJSWciOpivevv3KDriq2xsZs8jNvHleWLcou6u5dFpD27mU1SVKS9jCcapzhxRf5uzXVFLUaUDU8X33FDY/KIeXIkaxIcnJq4I2Li/ldL13iVu3CBRakEhJYYq8NS0uW0p2dOXTuzONMeRU++UxNOYM6OSG7ky/W7PbG1sOOuAsnOHe3xtatrNR61Pn+ey4XRNz5ef11FoJv3GDPE/fu8cy1xET+VKptfj4LzU88wdWItTVrmQcNAtxciS+8dYsNk27d4gssLPi7WVpyL+f+fVYLqR6SnMyFV2UXpy92dlwBeXmx8aTmb2dnLaGqvJwnM3z+OXDypLawOGMG8Nln0pVFXbR6wUkIMRXAdwBeARANYBGAyQC8iSijjmul4NQUKJVc8O/d49pICO2Ql1dZkZiaciuUk8MhK4vVOgpFZQOgiZERj0MFBnKl4OLCRj5WVhxKSyvn9aakcMWUn88NUkqtnvHVFMMMpzEQRzEUl9Ab59AfZa6e6NWLK0ZHR45q9+7AtGlcYbZU0tJ4SG/rVlZuqLCxYZ9Cc+fyCFczyyHcaMTGAhERHM6e1Z5GBHDtPX06q8oGDqy/y4BGID0d+Oc/uaFJ0HCt26cPG9zOnfvQo2m6KS5mQSoqilvqzEzed+cOR+QhVCPlELgMf5wxGoQ/Lh+ErpMHsB+rJnmRls2VKzzMWlzMnZ8vvqilLOTl8YlGRqCkZBRd+R0W5YUQxUVct9y6xYLPrVscVMZFDcXCgrVKXbtyKC/n52uGrKzae3YA14vdu2sLVBUh06or9u0X2L2b64nycpbBevZkodDLi/uYKhnMxeWRzCbVaAuCUzSAs0Q0v+K/EYBbAD4nog/ruFYKTg9DURHrfC9e5HD5MnDtGlcejaXz7tiRBaXevdn+Y8SIhlk1EgG3b6OoQInzl80Qt+kMSo+eQmneA5ihBG64BU8kwAOJsIT2+hYkBMSMGTxDqhUbBERH8xDN4cPanqz9/IAVK3jkq1EFKKWSG/0rV9hq/vp1ruRv3eL/JSXa5wcGslZp+HCupV1dDaoWO3WKDftV7ZKlJTBlCnvoHjDAgEb4xcXcKXnwgAWqO3dYW5Gezg2tagyutJTPu3OHv8GNG/xf1/otKnVJUBCrUJ56qmX3CBqB0lLWDikU3InYuxcsBJ08yXWYUsnb2FgOSUn1f0iHDpyP3dx4fL+oiL/bgwect+3sONjassbQ1ZWHYn199fc5UljI/idu3uRvfONG5e+kpNrrYltbdvrk6oo7Jl3xfuRj2HJnKO7DXufpJibcn7Gw4BHCAQNYprO35/8+Po+GtqpVC05CCDMAhQCeIaJdGvs3gRf7HVfH9VJwqg8pKexp79AhNtaNj6/ZPkMILpQqhySqAHCpc3PjCqOsjCt7BwcednBw4C7OH/7A20bwe1NWxjPW163jDrzmLBcrK24jRozgmS7+vQjGCTd4GltUFKvNz56tvOAPfwAef5w9DD7xRNNNi2lClEo2YN20Cfjuu0pbaxcXFhSGDuUhHFdXPW6Wk8ONyu3bfKPbt1kjcvUq54+aFlkDuIEPCWFhacyYFrHYWkkJT4LbvZuHOsvKuA17/31g9Og2IkukpSFnbxQ2z4tCYFEUBpieh1lpofY5Vlb8TZ55ho3vbWwME9cmgohda338MeBvl4wTr/4Mu+iDbDBYW55V4ejIahhbW66/nJ25TtMMrq4Nn5rXWJSUsPBUVaC6cYOFLc3KsAIyMsL9boG46T4CZ6xH4HDRY7iUYIPERJ2nVyMwkG2mxo7l321xlm9rF5y6AEgBMJiIojT2rwEwlIgGVDlfrlWnLyUl3LpGRVWG5OTq57Vvz8KDKnh7c9ejY0eDaQtU0/ivXGE5b/fuypngANvVPvkkz4gaNUqPjt3Zs8DSpXyzqjzzDFsJ9+7dqO/QXNy7B3zyCRu1a05WA1iAevll7lFaWwMOSTGwP3cY5vczYH7rBsSF83X3ws3NOU/4+fHW1ZUFJF9f1t41+xhhzdy5w4LjqVOV+6ZMYUGqLRpSf/89e28wN1Hi16+uYbDFec7r4eHa45KWlty7mDyZhahWnhhKJbBgPiH6q/OYjy8w2/h7GCk1ZlV06cJ1mYkJ12MBARz69Kns7Blg2LjRKS3lDs6VK6yxjI/nDmNVO1JjY6BvX5QPeQw5vkNw1/sx3LdyxuXLrK3LyOARw+vXq1tDODtz0vXuzWWpX7+2IUg9aoLTCgDLq96nrQhO5eVcBm7f5qEYTU2wZjDXFB2JeHhNoeCtKvz2W/Wel5ERq/JHj2ZX1gEBXMkYuCSUlrICLDKSO4wnTlQ3j2rfnv0gzpr1EG5zUlPZ/8ClS1zh7N9fqUULDmbHhtOmNYln6qamqIg9Gu/ezVlBtRSbPXLwBI7hefwX4xCu+2JPT05Ue3sebvD0ZCMJPz+eAdcKjCJOnGC5IC2Ny8hf/8r+dnx9DR2zpoOIZ35t3cqC8eHDbEoGIrYJ/PlnYNs21k6osLBgaevtt/mbtzJKLl7Fnuk/oPeVregBjfd64gn23TF69CPgDK0OUlK4Mv31Vw6JidXP6daNVfSPPcZbX1/AyAgZGTzkGR7OJnqFVRSZPj4sez/5JF/ahI70m5TWLjjVa6iuNWiciotZCEhNZUn+7t3Krep3Xl7lBDETE7avNjZmLUtdE3FskIenTQ5ilMkR+Iir8Cm9BMcy3Tb0+RaOuOUyCAW9B8Js6CB0+tMf0LF7O4PXKWVl3DE+epTL94kT1e0wLS25kPbvz6vQh4Q0gdb80iXg3Xd5WrnKD4CVFdcKY8bwtrmctpSUcKtfWMgV39mzlXYaZWXaWxsb7gra2XHNpSNkxWci+5//RfeEQzACl3sljBCBP+E6vHALbohBX1w174tNu+0xenTzvGZjU17OBsGvv87J4+/PRrKGniHZXBQX85DKwYOcLb76imeWqSHiodht2zhcr1hH3ciIpaxRo9ijYnBwC5umqcGdO8DWrVBu/gHGMefVu8vMLGEyPpQdrw0YUMsNHnFu3WK7rxMneBsbq3six8SJbABYMVWzqIiroatXWZG1c6d2X9zSkuXVIUM4GxnUbrCetGrBCVAbh58hogUV/40AJAP4oiUbh9+7xyNh0dE8076wkCux06cfbjKGtTWbBtnaAqUlBNvM39Eh5zpc869iePE+DEMkzKFtlFsEcyjQD1fgh3h44xp64gr8cBPdAWjn5Hbt+P6qYGLC8da0aezcufELQEYGl9lDh3iGU0YVWc/BoXLt1mHDWDXcbIqOjAz2N/Ttt9oOUgBW748ezZJbYOBDzFsHZ4yUlMoZg4mJrB6KianbCPRh8PHhefcLFoB6eqOkhCvCVat4pp6ZGduQPf100zy+qThzBliwgLcAKwvXr28jdkz1oKCAtWtHjvD/adOAjz7SYeNGxIXwgw9Y26pJu3bc8j32GGtuAgIM2wrm5nKm/OEH1ppUlI1SmOCw8Wi4vBGGPn8LbXO2W81Cbi43VCdOcIiO1lYt9e/PY/yjR3MmqsgH9+9ztjlwgLepqdq37dmTJ6gMGsRmpC3Zs3lbEJymAtgE4GUAZ8DuCKYA8CGi9DqubTbBKTubbQqOHmUtuKYJQVU6duQer5MTh44dtX/b2lYqEFShtBTo2KEcgXa/wyTyMOtLT53S6Q+k1L077g95Glnugch09MGtDoHIKTTH/fuVbkXKyjjjFhRwJ/P6dW6n9ckC9vbckwgJ4Z5EQ3wUFhRwLzgigtd3unZN+7iDA0++UglK/v4twFyGiAWZvXs5nDlTPcGcnIBevTj4+7PK28qq0reLKhQWcs1y5gxLJzExulXmmpiZcUPg4MBDqj4+rI40MWEp0sSEEyk3l7VTeXncBdQVAFbVvfhijUMyJSXsLWDHDr71V1/xaGVrYN06Xg5HqeQ2/x//YP9WraXH29iUlbE89O67LGNYWrIiydmZZaHx46sIlElJ3Is5dIjH+LKztW/o5MSNZufOHPz9WSPh4dH4kVeVO9W6RJcvcwWrMXHlJAbjB4ThZJcp+GZHB6lgakxKSzndv/mGh3c1Z8u6uLAd6MyZXCdVFDAiVtgfO8b1+5492rKXiQn31SZOZDm8U6dmfqc6aPWCEwAIIeaj0gFmDICFRBStx3VNKji9+SaPlmRkcL7S9OcHsG1sv36s8e7QgfcFBrKSQi8hICuLM+rJk2zcFBdXfVDZ3JxVQ926sRj/pz812NtycTFPxLh+nQUZlddsExOuR+Pi+HhVxYebG9uPjB/P5gPt21d//LVrXHgOHGDV7u3b1e/j719ZiY8Y0ayrazSMu3crG5djx7gyf9gyZGtb6RXdxYV79v368TdtClVfHZSW8rINP/zA/xcvZiGkpdouXLvG8du0if9Pncpe1zt3Nmi0WgznzvHIVdXFaG1suN3z9maBaswYjaFvpZJbwago7u3s31/zzLROnVhS9fJiDZWPT6WfImfnmtXEZWXsekHl7iQzk0N6OgtuOjoVOZ198HFaGH7As0hAN7zwAs+iayFWGW2Tu3d5aaQff2QXNZqzrn192ahu1CjOTBoVeF4eD+UdO8ZKLE37dCG4qnN1ZeHd0pLLq4sLh+7duWnTbA8KC1l+Dg5umtdsE4JTQ2lqwcnDQ3vSUUAA55v+/dllSr2X5iBio+2ICK4sIiOrr7FhZlZp2DNyJD+oGWeAFBVxhj18mOWFEyequ+uxt+d609OT69EzZyqHSzTx9OTeRkgI26K3ev8gBQUsFV6+zN/x8mWWEFV+XTSDpSWrF3v1YpVacDBLjo6Ohn6LahCxH6h33+X/PXvyYrdDhhg0WlrExHAcd+/m/0LwUOObbz66WqaaIOKqJS6O66+ff+YOkSbW1rx0yxtvsLyjRUEBt3zp6azZVLkxOXas9uFkY2OuHGxtWSJX+TwqKqrZ7YlmhEJCuGcVFITdV70xYV4XEAQmTOBv3wo9h7RuCgpYC7h5Mxc8Tc2BiQl3/nx8WJAaMYLrt4q26to11mRv3159aUdddOjAtzEx4byqUvbfu9c0Q+9ScGpCwenf/+byr1peqkE+LXJyuPsXGclLUly9qn1c5TSjTx9uZLt3b1FGmoWF3AndupWFqJqcdxsbc9kZM4ZlBE9PgyhQWgaqctbKXn73bva+nJrK33PNGtZAGfI1Ll/mRnP79sp9Tz/NAtMTTxgsWq0KIhY8r1ypnGyn6hCamfGQeWgo20bVKtdnZlZ68790iVu3hATWIKWk6F5oURMhuDfq6cmdig4dOPTqBYwZg1JTK+zaxe303r0sa/35zzws28qKUtvj/n3OOHv2sL1KTk71c0xNWXU0ezb3mFkwwd27nE1UfUyVFUNKCodz51hGr4qrKzeZ/v6N/zpScGpJDjDLy7mnduYMG9ydOsXqTs10NzNjXbkqeHsbLr4N4MGDyuG+5GQuAM7OPGTS0saxJfXn3j22Fdqyhf8PHswG2BMnNp/iMyuLJzpu28ZCu2rVn2nT2OWWj0/zxKOtQsTp+t57bCWgwtycffUsW9aAWYlKJbd+2dk8bmNuXn22p42Nzkz04AF3Uteu5cZVxZw5PF/D4LaPEm3Ky3mCy+3blSsPnz6tLUwJwcqAxx7jEBJSac9ShbIyHuGIjWWdgaMjd4o8PZtOYJaCk6EEp5IS1oVfuMDdOdU2V8c38Pbm4Zphw9gRXYUkLpG0RIi4IXvttcph2o4d2XB86FA2dXBza/xKLTqatUuHD2srL555Bli+vGl6no8yRFyFRUSwScuFC7zf1JTt3saP5+/dVM6z79zh4ZwPP6zUZKvy2YwZbE8paSUQsb+wn37iWVRVnXAaGVX6jQoMZBupBjvke3hareAkhPAA8HcAI8BG4XcAfA/gAyIqqeVSzXs0reCUmcndoeJi9oURG8vCkUrvrct/vaUlG/sOGMDh8cel5aqkVZKSwtP7v/mm+jqkXbpwr/Dxx3n6sasr9xQboh3IyQG+/JI1HSpTmIAA1n5MnsxzIyRNCxH77Fm+XNtTga0tu/ZZuPDhXZoR8dDr7t3sYFFzJaSuXfn7h4W13IkJknqQmlrpO+rIER55qYqtLdvwBgSwiYqnJ4cuXSoXSG4is5XWLDg9CWAqgB8B3ADgD+A/ADYT0RI979G0gpOra81GPQAbQgYEsATdty8HP79WMF1MItGf0lJu6LZuZZv469d1m7OYmPBwrbMz9xUcHLgomJnxVuVpwcGBtRiqSVyariqmTmUj9Z49m+/9JNocOcJDtQcOVC51ZGTE2qfQUBaUg4LqHrrNzeW+5oULHCIjq0+eGzCAJ9y89JIUmNo0SUkskSsUnBkuXao+TV0Xycms3m5kWq3gpAshxBsA/kxEeq0F0OSCk5cX1xzm5jw+qxKOAgJ427WrtFqUPHIUFvKw2vHjPNEqNpaVsw9Djx68TMrs2bJItRTKy3kY76OPqrs3sLWtnAji7s7CdVYWC8FxcTwHRtfSmBYWPHtq7FieOCyV8Y8oqnX2Llyo9NulCpo+xTIyHs7pcA20NcHpfQBPElF/Pc9vWsFJZZUqkUhqpaSE67jUVJ7BnprKE3FKSzmUlAD5+Twsl53N2gg/Pzb5e+yxFumlQaJBQgJPqjp+nDWF+grKbm6VCvk//IFn3jaVzZSkjVBWxtqooiJWTzfB7IA2IzgJIbwAKAAsIaL/1HCOzrXqbt261TJm1UkkEkkbp7ycp5AfPMj2wMnJrEmys2N73549eT5Mz54N8HUnkTQDubm5cOMhwJYhOAkhPgTwVh2n+RKR2qGREMIFwFEAkUQ0t5Z7rwCwvDHiKZFIJBKJ5JHGlYhqMWRuPsHJCUBdivffVTPnhBBdAEQCOA1gDhHV6JpWh8YJANoDyNZxemPQDsBtAK4A8proGZKakelvWGT6GxaZ/oZDpr1haY70bwfgDtUhGDWLO2oiugvgrj7nVmiajoCH6J6rTWiquHcxgKqm+LWq2R4GUWnflFeXOk/S+Mj0Nywy/Q2LTH/DIdPesDRT+ut135azjgfUQlMkgCQASwA4CfXKy5RmuJhJJBKJRCKRtDDBCcAoAF4V4XaVY3Iqm0QikUgkEoPSolb8IaKNRCR0BUPHTYNiACtRfXhQ0jzI9DcsMv0Ni0x/wyHT3rC0mPRv0e4IJBKJRCKRSFoSLUrjJJFIJBKJRNKSkYKTRCKRSCQSiZ5IwUkikUgkEolET6TgJJFIJBKJRKInUnCqJ0KIeUKIRCFEkRAiWggRbOg4tTWEECuEEFQlaC7HYyGEWCeEyBJC5AshtgshOhkyzq0ZIcQTQoj/E0LcqUjr8VWOCyHEu0KIVCHEAyHEYSFEjyrntBdC/CCEyBVC3BNCfCuEsGnWF2ml6JH+G3WUh/1VzpHp3wCEEEuFEGeFEHlCiAwhxC4hhHeVc+qsb4QQXYUQEUKIwor7fCSEaGnufloceqZ/pI78/1WVc5o1/aXgVA+EEFMBfAyeEhkEIBbAASFER4NGrG3yGwBnjfCYxrFPAIQCmAxgKIAuAHY0dwTbENbgvDyvhuNvAlgI4BUAAwAUgPO9hcY5PwDoBfbF9icATwD4pqki3MaoK/0BYD+0y8P0Ksdl+jeMoQDWARgITjtTAAeFENYa59Ra3wghjAFEADADMBjAbABzALzb9NFv9eiT/gDwH2jn/zdVBwyS/kQkg54BQDSALzT+GwFIAfC2oePWlgKAFQBiajhmB6AEwDMa+3wAEICBho57aw8V6The478AkApgSZVvUARgWsV/34rr+muc8ySAcgBdDP1OrSlUTf+KfRsB7KrlGpn+jZf+ThVp+UTF/zrrGwBPAVAC6KRxzisA7gMwM/Q7taZQNf0r9kUCWFvLNc2e/lLjpCdCCDMA/QAcVu0jXkfvMIBBhopXG6ZHxdDF7xVDEF0r9vcD90o0v8NVAMmQ36Ep8ATQGdrpfR/ciVCl9yAA94jonMZ1h8EN94BmimdbZ1jFEES8EOJLIYTmouky/RsPu4qtapF4feqbQQAuEVG6xn0OALAFawEl+lM1/VWECSEyhRCXhRCrhBBWGseaPf3lGKz+dABgDCC9yv50cA9E0nhEg1Wt8WC17HIAx4UQ/uBGvISI7lW5Jr3imKRxUaWprnzfWeOcDM2DRFQmhMiG/CaNwX7w0FACgO4A/gFgnxBiEBEpIdO/URBCGAFYC+AkEV2u2K1PfdMZussHINNfb2pIfwDYAl6/9g6APgBWA/AGMLHieLOnvxScJC0OItqn8feiECIaXHCmAHhgmFhJJIaBiLZq/L0khLgI4CaAYQB+MUik2ibrAPhD255S0nzoTH8i0rTVuySESAXwixCiOxHdbM4IqpBDdfqTiYpx1Cr7OwFIa/7oPDpU9PaugRd/TgNgJoSwr3Ka/A5NgypNa8v3aQC0JkhUzGhpD/lNGh0i+h1cH3lV7JLp/5AIIb4AG9UPJyLNBeb1qW/SoLt8ADL99aKW9NdFdMVWM/83a/pLjZOeEFGJEEIBYCSAXYBatTgSwBcNuadCoTAHqxzld6iF33//3dLPz6+nu7v7kbCwsLL333+/LCAgYK5CofgVAHbv3u3u7e3dNSQkJFuhUAQZOr6tGW9vbwQFBXVTpePp06fxwgsvZLq6us5SKBRGAHDt2jVrHx+fgf7+/vsUCkXQX//613vbt2+3X7x4cdiMGTPiAGD27NkDo6OjjV5++eUC+U30p2r66yIyMrKjj4+PY1BQkKVM/4ejrKwMS5YseatXr17Dn3nmmRdDQ0MdFAqFg+r4999/X2d9M3PmzIyzZ8/2/vLLL0cGBwfnAEBoaOjEGzdu5H/88cdmMv2hBJDUr1+/e1UPCCEEgM8BTAAwjIgS9Lhf34ptasU2CsDfhBAdiUg1ZD0KQC6AKw8R7xqRi/zWgwp3BJsAvAzgDIBF4OEjnyqGaXWiUCi6A7gIwKqucyUSiUQiaeX8B8Ar/fr1K1ftEEL8G8CzAMaBbVpV3CeiB0KI7hXH9wLIAts4fQLgNhENrbiHMYAYsA3Um2C7ps0A1hPRX5viRaSmox4Q0U9CCCewf4jO4I/1ZAOEJiMAG01NTc26desGIyM5YiqRSCSStkd5eTny8/ORkpLyYsWulzQO/7liG1nlsufAbjhKAISAlRTWAG4B2A7gfdWJRKQUQvwJwJdg7VMBWMGxrDHfQxOpcTIACoXCBcBtT09PtG/f3tDRkUgkEomkSUlLS0NKSgrWr18/5ssvv9xX9xUtF6nqMAxOAGBubm7oeEgkEolE0uTY2PAKQGZmZq+MHTv2CQNH56GQgpNhMAIAtouTSCQSiaRtozJJqZjxOXbs2LGttgGUgpOk0RFCYNeuXYaOhkTSZAwbNgyLFi1q1mdu3LgR9vb2zfKsxMRECCEQExPzUPcxRDoZghUrVqBv377N+szIyEgIIXDv3r1mfe7DYmxsnAegHYBWuwi1NA5vSSQnA5mZzfe8Dh2Arl3rPk+DtLQ0fPDBB4iIiEBKSgo6duyIvn37YtGiRRg5cmSjRzEyMhLDhw9HTk5OszUajU1beAddtPTsevfuXSxbtgwRERFIT0+Hg4MDAgICsGzZMgwZMuSh4rJjxw6Ympo+1D1qw8PDA4sWLWoSoUMIgZ07d2L8+PGNfu+WysaNG7Fo0aJGETLaavqtWLECu3btemhhWQ8IvAZmq9U4ScGppZCcDHh7A0VFzfdMCwsgPl7v1igxMRFDhgyBvb09PvroI/Tu3RulpaU4cOAA5s2bh6tXrzZxhBsOEUGpVMLEpPVm+Zb0Dq0gu2LSpEkoKSnBpk2b0K1bN6Snp+OXX35BVlZWg+NQUlICMzMzOalDIqkBVRlpy8ihupZCZmbztkIAP68eKoO//OUvEELgzJkzmDRpEnr27IlevXrhtddew+nTp3Veo0udHBMTAyEEEhMTAQBJSUkIDQ2Fg4MDrK2t0atXL+zduxeJiYkYPnw4AMDBwQFCCMyZMwcAT3FdtWoVPD09YWlpiYCAAPz888/Vnrtv3z7069cP5ubmOHHihM443r59G9OnT0f79u1hbW2N/v37Izo6Wn189+7dCAoKgoWFBbp164aVK1eirKxMfVwIgfXr12PChAmwsrJCjx49EB4eDgBN8g6xsbEYPnw42rVrB1tbW/Tr1w/nzmmu79r0tPTseu/ePRw/fhyrV6/G8OHD4e7ujuDgYCxduhRjx47VOm/u3LlwcnKCra0tRowYgdjYWPVx1RDM+vXr4enpCQsLCwDVh6CKi4uxZMkSuLi4wNraGgMGDEBkZKT6eE15XBfDhg1DUlISFi9eDCFENVvIAwcOwNfXFzY2NnjyySeRmpqqPnb27FmMGjUKHTp0gJ2dHYYOHYrz58+rj3t4eAAAJkyYACGE+n9NXL16FYMHD4aFhQX8/f1x9OhRreOXL1/GU089BRsbG3Tq1AkzZ85EZi0fKScnB7NmzYKDgwOsrKzw1FNP4fr16+rjquHI2t6xrKwMCxcuhL29PRwdHfHWW29h9uzZNWqAIiMj8dxzz+H+/fvq9FyxYoVe8alKXem3efNmeHh4wM7ODtOmTUNeXp76WF3lXRfFxcV466234ObmBnNzc3h5eeHbb7/Vea6u4cK1a9dqxTEyMhLBwcGwtraGvb09hgwZgqSkJGzcuBErV65EbGysOo02btwIoOFlpC0jBSeJXmRnZ2P//v2YN28erK2tqx1/mCGoefPmobi4GMeOHcOlS5ewevVq2NjYwM3NDdu3bwcAxMfHIzU1FZ9++ikAYNWqVfjuu+/w1Vdf4bfffsPixYsxY8aMahX722+/jQ8//BBxcXHo06dPtWfn5+dj6NChSElJQXh4OGJjY/Hmm2+ivJx9tB0/fhyzZs3Cq6++iitXruDrr7/Gxo0b8cEHH2jdZ+XKlZgyZQouXryIMWPGICwsDNnZ2U3yDmFhYXB1dcXZs2ehUCjw9ttvN+mwUWvExsYGNjY22LVrF4qLi2s8b/LkycjIyMC+ffugUCgQFBSEkSNHIju7cnH2GzduYPv27dixY0eNwxjz589HVFQUtm7diosXL2Ly5Ml48skn1Y1wTXlcFzt27ICrqyveffddpKamagkNhYWF+Oc//4nNmzfj2LFjSE5OxpIlS9TH8/LyMHv2bJw4cQKnT59Gjx49MGbMGHUDfvbsWQDAhg0bkJqaqv5fE2+88QZef/11XLhwAYMGDUJoaKhaY3fv3j2MGDECgYGBOHfuHPbv34/09HRMmTKlxvvNmTMH586dQ3h4OKKiokBEGDNmDEpLS/V+x9WrV+OHH37Ahg0bcPLkSeTm5tZqUzl48GCsXbsWtra26vRU3U+f+GhSW/rdvHkTu3btwp49e7Bnzx4cPXoUH374ofq4vuVdk1mzZuHHH3/EZ599hri4OHz99dc15pu6KCsrw/jx4zF06FBcvHgRUVFReOmllyCEwNSpU/H666+jV69e6jSaOnUqgMYrI20KIpKhmcO5c+eCzp07RwUFBaRGoSACmj8oFKQP0dHRBIB27NhR57kAaOfOnUREdOTIEQJAOTk56uMXLlwgAJSQkEBERL1796YVK1bovJeu64uKisjKyopOnTqlde4LL7xA06dP17pu165dtcb166+/pnbt2lFWVpbO4yNHjqR//OMfWvs2b95Mzs7OWu/7zjvvqP/n5+cTANq3b1+TvEO7du1o48aNtb5XU9PCsysREf3888/k4OBAFhYWNHjwYFq6dCnFxsaqjx8/fpxsbW2pqKhI67ru3bvT119/TUREy5cvJ1NTU8rIyNA6Z+jQofTqq68SEVFSUhIZGxtTSkqK1jkjR46kpUuXElHteVwX7u7u9Mknn2jt27BhAwGgGzduqPetW7eOOnXqVON9lEoltWvXjv7v//5PvU+zfNZEQkICAaAPP/xQva+0tJRcXV1p9erVRET03nvv0R//+Eet627dukUAKD4+noi00+natWsEgE6ePKk+PzMzkywtLel///uf3u/YqVMn+uijj9T/y8rKqGvXrjRu3Lga32fDhg1kZ2entU+f+OhCV/otX76crKysKDc3V73vjTfeoAEDBhCRfuW9KvHx8QSADh06pPN41Xpl+fLlFBAQoHXOJ598Qu7u7kRElJWVRQAoMjJS5/10Xf8wZaQqBQUFdO7cOXrttdd+DA0N/SY0NNSWWkB73JBgeGMJSauAqOkcpS5cuBB//vOfcfDgQYSEhGDSpEk6tUMqbty4gcLCQowaNUprf0lJCQIDA7X29e/fv9Znx8TEIDAwsEabldjYWJw8eVJLw6RUKlFUVITCwkJYWfGKOZrxtba2hq2tLTIyMqrdrzHe4bXXXsPcuXOxefNmhISEYPLkyejevXut7/koMmnSJDz99NM4fvw4Tp8+jX379mHNmjVYv3495syZg9jYWOTn58PR0VHrugcPHuDmzcpF193d3eHk5FTjcy5dugSlUomePXtq7S8uLlbfu755vCasrKy0vrWzs7NWPktPT8c777yDyMhIZGRkQKlUorCwEMnJyfV+FgAMGjRI/dvExAT9+/dHXFwcAC4bR44c0akBuXnzZrX0iIuLg4mJCQYMGKDe5+joCG9vb/U963rH+/fvIz09HcHBwerjxsbG6Nevn1pLrC/6xkdfPDw80K5dO53xrk95VxETEwNjY2MMHTq03nHRRfv27TFnzhyMHj0ao0aNQkhICKZMmQJnZ+car2msMtLWkIKTRC969OgBIUS9DcBVvjs0Ba+qavC5c+di9OjRiIiIwMGDB7Fq1Sr861//woIFC3TeMz8/HwAQEREBFxcXrWNVnYrqGlbUxNLSstbj+fn5WLlyJSZOnFjtmOZYftWhMiFErRX5w7zDihUr8OyzzyIiIgL79u3D8uXLsXXrVkyYMKHWd3kUsbCwwKhRozBq1Cj8/e9/x9y5c7F8+XLMmTMH+fn5cHZ21rJFUqE59FxXHsrPz4exsTEUCgWMjY21jqmEivrm8ZrQlc80y9bs2bORlZWFTz/9FO7u7jA3N8egQYNQUlJSr+foQ35+PkJDQ7F69epqx2prjOuirndsqdRWB9SnvKuoq26qipGRUbV0qlrXbtiwAQsXLsT+/fvx008/4Z133sGhQ4cwcOBAnfdsrDLS1pA2ThK9aN++PUaPHo1169ahoKCg2vGapvmqeiGadhq6xsDd3NzwyiuvYMeOHXj99dfxn//8BwDUszOUSqX6XD8/P5ibmyM5ORleXl5awc3NrV7v1adPH8TExGiN12sSFBSE+Pj4as/x8vLSe43BpniHnj17YvHixTh48CAmTpyIDRs26BWXRx0/Pz91/g0KCkJaWhpMTEyqfYMOHTrofc/AwEAolUpkZGRUu0/nzp3V59WUx3VhZmamlV/05eTJk1i4cCHGjBmDXr16wdzcvJqxtqmpqd731pz0UVZWBoVCAV9fXwCcfr/99hs8PDyqvbeuhtTX1xdlZWVaEy+ysrIQHx8PPz8/veJjZ2eHTp06adkWKZVKLQN4XehKz4bGpz7pp6Ih5b13794oLy+v1QZKEycnJ6SlpWkJT7rq2sDAQCxduhSnTp2Cv78/tmzZAkB3GjVWGWlrSMFJojfr1q2DUqlEcHAwtm/fjuvXryMuLg6fffaZlkpfE1XFsGLFCly/fh0RERH417/+pXXOokWLcODAASQkJOD8+fM4cuSIunJ2d3eHEAJ79uzB3bt3kZ+fj3bt2mHJkiVYvHgxNm3ahJs3b+L8+fP4/PPPsWnTpnq90/Tp09G5c2eMHz8eJ0+exO+//47t27cjKioKALBs2TJ89913WLlyJX777TfExcVh69ateOedd/R+RmO+w4MHDzB//nxERkYiKSkJJ0+exNmzZ9XpJWGysrIwYsQIfP/997h48SISEhKwbds2rFmzBuPGjQMAhISEYNCgQRg/fjwOHjyIxMREnDp1Cn/729/qNUuxZ8+eCAsLw6xZs7Bjxw4kJCTgzJkzWLVqFSIiIgDUnsd14eHhgWPHjiElJaXWWWpV6dGjBzZv3oy4uDhER0cjLCysmubCw8MDv/zyC9LS0pCTk1Pr/datW4edO3fi6tWrmDdvHnJycvD8888DYIP37OxsTJ8+HWfPnsXNmzdx4MABPPfcczoFix49emDcuHF48cUX1bNDZ8yYARcXF/U30YcFCxZg1apV2L17N+Lj4/Hqq68iJyen1pUYPDw8kJ+fj19++QWZmZkoLCxscHzqk34qGlLePTw8MHv2bDz//PPYtWsXEhISEBkZif/97386zx82bBju3r2LNWvW4ObNm1i3bh327atcEi4hIQFLly5FVFQUkpKScPDgQVy/fl2dDz08PJCQkICYmBhkZmaiuLi40cpIm8PQRlaPYmiNxuEq7ty5Q/PmzSN3d3cyMzMjFxcXGjt2LB05ckR9DqoYT544cYJ69+5NFhYW9Pjjj9O2bdu0jMPnz59P3bt3J3Nzc3JycqKZM2dSZmam+vp3332XOnfuTEIImj17NhERlZeX09q1a8nb25tMTU3JycmJRo8eTUePHiUi3QbZNZGYmEiTJk0iW1tbsrKyov79+1N0dLT6+P79+2nw4MFkaWlJtra2FBwcTN98802N70tEZGdnRxs2bGj0dyguLqZp06aRm5sbmZmZUZcuXWj+/Pn04MGDOt+zMWnp2bWoqIjefvttCgoKIjs7O7KysiJvb2965513qLCwUH1ebm4uLViwgLp06UKmpqbk5uZGYWFhlJycTES6DWaJtI2eiYhKSkpo2bJl5OHhQaampuTs7EwTJkygixcvElHdebwqUVFR1KdPHzI3NyeupnUbOO/cuVN9nIjo/Pnz1L9/f7KwsKAePXrQtm3bqhmah4eHk5eXF5mYmKgNh6uiMg7fsmULBQcHk5mZGfn5+dGvv/6qdd61a9dowoQJZG9vT5aWluTj40OLFi2i8vJynemUnZ1NM2fOJDs7O7K0tKTRo0fTtWvX1Mf1ecfS0lKaP38+2drakoODA7311ls0efJkmjZtWo3pSUT0yiuvkKOjIwGg5cuX6xUfXehKv7oMs4nqLu+6ePDgAS1evJicnZ3JzMyMvLy86L///S8R6a4fvvzyS3JzcyNra2uaNWsWffDBB+o4pKWl0fjx49X3cnd3p2XLlpFSqSQiLjOTJk0ie3t7AqCuvxpaRqrSlozDBVHLHztuaygUiiAACl9fX7VxcavwKCiRVCCzq6SlUF5eDl9fX0yZMgXvvfeeoaMjqYHCwkLExcVhy5YtW69fv54HYEl4eHiuoePVEKRxeEuha1duFVryGhYSSQUyu0oMhWqYaejQoSguLsYXX3yBhIQEPPvss4aOmuQRQQpOLYmuXWXLIGk1yOwqMQRGRkbYuHEjlixZAiKCv78/Dh8+LO38JM2GFJwkEolE0mpwc3PDyZMnDR0NySOMnFUnkUgkEolEoidScJJIJBKJRCLREyk4GYZyoGmXMZFIJBKJpKWg8qJeXl7e6hs+KTgZhrsAal21XSKRSCSStoJq2ZmMjIxW6YJAE2kcbhhSAZy4ffv2IDMzM2N9l+6QSCQSiaQ1UV5ejvz8fKSkpCAxMfF8Xl5eCQCLOi9swUjByQD069evXKFQzC4pKbkcHx9fv5UcJRKJRCJpZSQmJp7/7rvv9gDoBKAUQDO6z21cpOdwA/L3v/+9fUFBwWqlUulpbm6eKISo/6qeEolEIpG0UMrLy8tTU1Pv5+bmFgGwAuAF4Eh4ePjnBo5ag5GCk4EZO3asK4D5ALobOi4SiUQikTQRAoASwBkA34SHh+cZOD4NRgpOLYCxY8c6AnAHYG3ouEgkEolE0gQQgFwAN8PDwwsMHZmHQQpOEolEIpFIJHoip3NJJBKJRCKR6IkUnCQSiUQikUj0RApOEolEIpFIJHoiBSeJRCKRSCQSPZGCk0QikUgkEome/D+s+vUoY/8PkgAAAABJRU5ErkJggg==\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "k_means = TimeSeriesKMeans(\n",
    "    n_clusters=5,  # Number of desired centers\n",
    "    init_algorithm=\"forgy\",  # Center initialisation technique\n",
    "    max_iter=10,  # Maximum number of iterations for refinement on training set\n",
    "    metric=\"euclidean\",  # Distance metric to use. Choose \"dtw\" for dynamic time warping\n",
    "    averaging_method=\"mean\",  # Averaging technique to use\n",
    "    random_state=1,\n",
    ")\n",
    "\n",
    "k_means.fit(X_train)\n",
    "plot_cluster_algorithm(k_means, X_test, k_means.n_clusters)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "## K-medoids"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 500x1000 with 0 Axes>"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 600x400 with 5 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "k_medoids = TimeSeriesKMedoids(\n",
    "    n_clusters=5,  # Number of desired centers\n",
    "    init_algorithm=\"forgy\",  # Center initialisation technique\n",
    "    max_iter=10,  # Maximum number of iterations for refinement on training set\n",
    "    verbose=False,  # Verbose\n",
    "    metric=\"euclidean\",  # Distance metric. Use \"dtw\" for dynamic time warping\n",
    "    random_state=1,\n",
    ")\n",
    "\n",
    "k_medoids.fit(X_train)\n",
    "plot_cluster_algorithm(k_medoids, X_test, k_medoids.n_clusters)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "The above shows the basic usage for K-medoids. This algorithm\n",
    "works essentially the same as K-means but instead of updating\n",
    "the center by taking the mean of the series inside the cluster,\n",
    "it takes the median series. This means the center is an existing\n",
    "series in the dataset and NOT a generated one.\n",
    "<br><br>\n",
    "The parameter key to k-medoids is the metric and is what we\n",
    "can adjust to improve performance for time series. An example\n",
    "of using dtw as the metric is given below.\n"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 500x1000 with 0 Axes>"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 600x400 with 5 Axes>",
      "image/png": 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PKwMGSGNo5kyJXdeVo5q7gO4knK4E/gP8H7AGCUdwBTDcWpttjHkZyLDW3uvYfgawDLgH+Ai4CvgVGo6gbXJzpdW9apUEWty4sXlnyrYYNEjETnm5WJSio8XPok8feREUFDRMIC+rKVOkxXyic2ApvYNdu2Sy4r//XSpkJ4mJUvGOHSujhEaOFLHt49P2MfPzpUvwww/FOd0ZViAwUATIhRdKt2FndDHU1MhosGeeqW+te3nJdcTGSgu9slKeE39/8VVJTRULq5dXvf+Jl5cIpgcfVKuS0j2prRVRlZYmouqbb+RZdvU98/WVhlB0tPhQfe970kDqwXQb4QRgjLmN+gCYG4E7rLWrHeuWAgestTe6bH858BD1ATDv0gCYLVBSIi+Sl14S03/jQIvh4fJyioqSZIw8DOXlUsHHx8tLyznMdfToznWCVU4+jh0T8bRggYj5xvcoyFDsuDipjOPiZCRUcbFYS2trxbp0+LD4bbhOqxMVBT/7mUQ676pwCNZKd9vDDze0qrVFbKy8aO65R8SiovQkysslDteKFfDRR01nbvDykvt7/HjxbRw+XBzSu3uYEhe6lXDqanq1cKqulht30SKxKq1dWz9SDeSmnT1buiimTpUuMxVBSnfh2DG5b5cvFwfsjAxxjnZaLt1hwgQZuXfGGWLt8aTP3N69MlT+8GF5cfj6Srd3YaHkc9o0eeFUVoqlTZ9FpbewaZP4w5aUyOeiRU238fISp/7ZsyWdemq3nrZJhVNPF07V1TI0ecMGcUxdskSGpFZWNm2xDxoEP/qRvEwSEjyTX0U5XmpqJHig088uPV2somFh0u3r4yMVcGysWKL0HleU7sf27TJp+c6dknbskJkVXDFGGjujRklD4uKLxRe2m6DCqbsLp+pqcWjdvFmG8IeEyMshM7NeLLlOC+FKZKQMUZ47VwJGjhnTq0c6KIqiKD2Q9HT4+muxSC1bJoKqMfPny8CR2bM9bpFV4dSZwmn7dhE1ZWUyRLm0VIY6Ox1ECwrEObRfP9nGOaItK0sc7TZvlmNUVLR+ntDQeqfrM8+UPmNfX2mF65B+RVEUpSeRlSXd9KmpYiB4++36GFOTJ4tPbk2NhOa44or63wUF0uXt4yNpwAD3BpO0ExVOnSmcBg5sOL/a8RISItaiwYNFYFVXi2Ps4MESTXvcOLUkKYqiKL2TAwfg0UfhxRfbNiS4kpEh78oORoUTFKanp3eOcDr9dBleHRgo8ZACAsT3yDnkOjxc1PGRI7JN375iferXTyLfjh5d38erwkhRFEU5mcnKkgDK/v5iXXrjDbFIOfHzk3dpTY0YGLZulRG1HUxRURHx8fFwkgqnAcAhT+dDURRFUZQex0BrbavdSr1ROBkgDmjBu/qECUWE2cBOPIfSMlr+nkXL37No+XsOLXvP0hXlHwpk2jaEUcd7WHkYxwV3gBNS85h6z//itsx5Ssej5e9ZtPw9i5a/59Cy9yxdVP5uHVedbBRFURRFUdxEhZOiKIqiKIqbqHBqPxXAg45PpevR8vcsWv6eRcvfc2jZe5ZuU/69zjlcURRFURSls1CLk6IoiqIoipuocFIURVEURXETFU6KoiiKoihuosJJURRFURTFTVQ4tRNjzK3GmAPGmHJjzGpjzBRP56m3YYx5wBhjG6WdLusDjDFPG2PyjTHHjDELjDExnsxzT8YYM9sYs9AYk+ko64sarTfGmN8ZYw4bY8qMMYuNMUMbbRNpjHnNGFNkjCkwxvzLGBPSpRfSQ3Gj/F9q5nn4pNE2Wv7HgTHmXmPMWmNMsTEmxxjznjEmpdE2bdY3xpgEY8xHxphSx3H+bIzpdQGmOxo3y39pM/f/c4226dLyV+HUDowxVwJ/RYZETgQ2AZ8aY6I9mrHeyTagv0ua5bLuceB84HJgDjLFzjtdncFeRDByL9/awvq7gDuAm4GpQAly3we4bPMaMAqYD5wHzAb+0VkZ7mW0Vf4An9Dwebi60Xot/+NjDvA0MA0pO1/gM2NMsMs2rdY3xhhv4CPAD5gB3ADcCPyu87Pf43Gn/AFeoOH9f5dzhUfK31qryc0ErAaecvnthUzvco+n89abEvAAsLGFdeFAJXCZy7LhgAWmeTrvPT05yvEil98GOAz8otF/UA5c5fg9wrHfZJdtzgJqgThPX1NPSo3L37HsJeC9VvbR8u+48o9ylOVsx+826xvgbKAGiHHZ5magEPDz9DX1pNS4/B3LlgJPtLJPl5e/WpzcxBjjB0wCFjuXWWtrHb+neypfvZihjq6LVEcXRIJj+SSkVeL6P+wEDqL/Q2eQDMTSsLwLkUaEs7ynAwXW2m9d9luMvLindlE+eztzHV0Qu4wxzxpj+rqs0/LvOMIdn0ccn+7UN9OBLdbabJfjfAqEIVZAxX0al7+Ta40xecaYrcaYPxpjglzWdXn5ax+s+/QDvIHsRsuzkRaI0nGsRkytuxCz7P3A18aY0chLvNJaW9Bon2zHOqVjcZZpc/d9rMs2Oa4rrbXVxpgj6H/SEXyCdA3tBwYDDwOLjDHTrbU1aPl3CMYYL+AJYLm1dqtjsTv1TSzNPx+g5e82LZQ/wOtAGpAJjAX+BKQAlzjWd3n5q3BSuh3W2kUuPzcbY1YjD84VQJlncqUonsFa+6bLzy3GmM3APmAusMQjmeqdPA2MpqE/pdJ1NFv+1lpXX70txpjDwBJjzGBr7b6uzKAT7apznzwc/aiNlscAWV2fnZMHR2tvNzAEKWs/Y0xEo830f+gcnGXa2n2fBTQYIOEY0RKJ/icdjrU2FamPhjgWafmfIMaYpxCn+tOstYdcVrlT32TR/PMBWv5u0Ur5N8dqx6fr/d+l5a/CyU2stZXAOuB05zKHafF0YKWn8nUy4BhWPRhxUl4HVNHwf0gBEtD/oTPYj1Q+ruUdhvjOOMt7JRBhjJnkst88pH5ZjdKhGGMGAn2R5wG0/I8bR6iNp4CLgXnW2v2NNnGnvlkJjGk0uno+UARs76y89wbcKP/mGO/4dL3/u7b8Pe1F35MScCUymugGZCTL88BRXLz5NXVIOT+GDFNNQoaXfg7kAlGO9c8iXXenIc6bK4AVns53T01ACFIZjUdGtPzU8T3Bsf5ux31+ATAGeA9IBQJcjrEIWA9MAWYiFsLXPX1tPSG1Vv6OdX9GhmsnIS/wdY7y9dfyP+GyfwYocNQ3sS4p0GWbVusbxPd1C+KQPA44E/E5e9jT19fdU1vljzSY73OUe5KjDtoHLPNk+Xu84HpaAm5zPEQVSGtuqqfz1NsS8CbiCFgBHHL8HuyyPgDpDz+CxBR6B4j1dL57akJ8ZWwz6SXHeoPERMlCGg6LgWGNjhGJOHEWI8OAXwRCPH1tPSG1Vv5AoOOFkIMMiz+AxGeKaXQMLf/jK/vmyt0CN7ps02Z9AyQCHwOlSCPvMcDH09fX3VNb5Q/EA8uAfEfdswd4FAjzZPkbx0kVRVEURVGUNlAfJ0VRFEVRFDdR4aQoiqIoiuImKpwURVEURVHcRIWToiiKoiiKm6hwUhRFURRFcRMVToqiKIqiKG6iwklRFEVRFMVNVDgpiqIoiqK4iQonRVEURVEUN1HhpCiKoiiK4iYqnBRFURRFUdxEhZOiKIqiKIqbqHBSFEVRFEVxExVOiqIoiqIobqLCSVEURVEUxU1UOCmKoiiKoriJCidFURRFURQ3UeGkKIqiKIriJiqcFEVRFEVR3ESFk6IoiqIoipuocFIURVEURXETH09noKMxxhggDij2dF4URVEURekxhAKZ1lrb2ka9TjghoumQpzOhKIqiKEqPYyCQ0doGvVE4FQOkp6cTFhbm6bworbBjB9xzD3z7LZSUQOsav3thDEREQP/+MGgQjB4NM2fCjBng0xufKkXpQo4dg0OHoKoKgoKguBgOHoQ9eyA9HY4ehdxc+X7kCFRWyrY9qQ4BSEiAcePg1FMlJSdDYKCnc3VyUlRURHx8PLjRW2XasEj1OIwxYUBhYWGhCqduQFUVfPQRLF4M770H2dlQXS3r/Kggmf0kcYAocokil37k1X36UUkmcRwhEovhGCEcYiBlBBJIGYGUEUA5gZThTwX59CWTOCwGfyrwpwJvaigliGJCOUZIXXL9XdPB7Qd/f6n8wsNh2DAYPx6SkiA0FAICICwMBg6UFBYmIkxRegPWiqhJSxMxU10NGRkicAoKRACBNC7Cw6FvX3lejh6FjRth507YuxcKC907nw9VjGAHs/iGEeyglCAq8SOUYvyo5BghFBFGMaF1yWIIopRAygiitC55UYtB3odtfdbgTTGhAA3qrnIC2MsQ9jGYfQymkHCq8CWDAWQRCxiMkWe+trb5a4qJkfpizBi4/HKYN08bY11BUVER4eHhAOHW2qLWtlXhpJwwZWVS6a1dC198IZ/5+VBRAeEUMJydDOQQcWQyhL0MYzfD2E0iaXjTQu3RhZTjXyekKvEDII9+dRXgXoaQSxQFRLCHoRQS0aHn9/UVUTVokFisZswQsTV4sFaYSvfj6FHYuhW2bJHP3FyxGO/fL4KprKwzzmoJpZgxbGES65jEOiawgeHsxI+qzjhhh1NCEJnEcZj+ZBFLBgPYxDg2Mp58+pJPX8oIarKfn59YogYNkjRmjFi3R44ELx3e1WGocFLh1GlUV0vX2ttvw4cfQub+CvpU5xBDNjFkM56NzGEZSRwgkiP0I7/V4xUTQiqDyCaGXKLIo1/dZzU+xJFJBAUAhFFEPOn4UUk5AQ6bUyDlBFCJH/3II45MavFy2Jv8qcGbIErrbE2hFNd996fyuMrgEAPIYAA5RJNNDPn0pRYvqvAlj35kEct+ktlPMvn0BY7fpOTlJVaphASYNQtuvBEmT3bPSpWXJ639o0dhyBAYMECtW0r7qamBTZvkmX/zTRFHHY8lmf2ksIskDtSlRNJI4gB9yceX6mb3LCKUVUxjPRPxpQp/KigijCp86555ZwpD3oelBFFGYJ29qZwAqh2WZ+t4Xlv79KWKUEePTq7D5pRHP0I45rA17WMQqQRTgj8V9OewW43EXPqxm2F8xWzWMYlcosgkjgMkUY1vg22HDYOf/hSuvVYaXsqJocJJhdMJY634EyxaBCtXwvLlkJ9ZQVLtPlLYxVRWcy4fMYatbR7rEAM4QBKH6U8qgxz2pmHsYSjZxHAiwuJE8KXSpfNOKlhfqjBY+nOYwexjCHsZzD6HCMwjjsPtOkcRoewnmVQG1YmpDAaQRz/2MJQs+h93/n18xMfqO9+RFBMj3Rxffin/14EDDbePjYVTToGpU+G73wXpzldOZioqICdHxFFBASxdKg2jfftEdLt2r3UEhlr6ks9wdnIGixnPRmLJYih7iORom/tn0p9vmeywOU1iC2NIJx7bzSPr+FJJAgeJI5NYsujPYZI4wETWM4IdRFDQquWsCh/2k8wehtbVnSuZzkbG4+9vOOMMuOgiuOACiI7uuuvqTahwUuHULlJT4eOPYc0aMb3v2yeVpZet5lS+5lIW8B0+YzD7mm01VeFTZ33ZyxCWMYctjOEIkaQTTxHhHZ5nV8tJW7ewMR3nNBpGIcPZSSxZdVa2PhzFYPGngn7kMYAMktnvlsjKIoavmM2nnFknJFMZ1KR1ebwEB0NIiHSnuPpU+PjAFVfADTeoD8XJQk2NdKctWSKWo7VrpYutI4khi3jS6c9hRrCD4eykP4frnpVocvChptl9K/BjJ8PZTzIHSCKNxLrPHKIpJJxjnJhpxVlvWNvU+urZV6EljCKSOMA4NnEaXzKM3fQjj3jSCaL5/s8M4viIc/mIc1nLKRymP1FRhquuEuv0yJHiV6m0TbcSTsaYW4FfArHAJuB2a+2aVra/HPg9kATsAe621n7cjvOpcGqGggJYvx7WrYOsLPFB2rwZdu2C0lLZJplULuN/xJBNP/I4m0VEk9vgOEWEsosUtjGKTzmTL5hHLlHdosUXFwdXXy0WlcREcbCMipIKsqYGMjOlmyEtTcojIkJSuEPXFRSIQyvISB7nuvJy2LZNfDrS00VoZmVJS701f44AykgkjUGkOmxNkpwvkUGkNitEK/FlByP4hll8zansYSj7SeYofTgR61xwMAwdKnnetat+eWwsPPYYXHONduX1BmprRSBt2wYbNsjAjN27peu2JYfk9tKfTAaQQSBlDCKVCWzgDBYziu1u7X+YWJYyl+XMJJ14DpLANkZR5fAxbIyXl/j6VFXJs9wS4eHSEJg4UdKppx5fN5a1UheUlck5q6sbfpaVyWg+p1/Xtm3S6MzLE8f21vLYXgy1xJHJUPYwjN0MZQ8j2c4clhFMaYNtjxLBaqbyNafyNaeyhimERQUwcSJcdx2ceSb066fPeXN0G+FkjLkSeBm4GVgN3AlcDqRYa3Oa2X4G8BVwL/AhcA1wNzDRWtt2nxAqnJyUlEiFuXAhLFsmXTjNkcgBLuR9LuZd5rKsyfp8InmPi3iXi1nHpLqRIe1l8GAYNUpe3AkJUFQE27dLSIJNm6SiCg+He+8Vx0djpBuhsFBEyoEDIlQKC2W7MWNEHIWHS4qIEMdJb+92Z+2EOHZMRMjRo5K3/fulq+ybb+QaWyOQUiaynvl8zmy+Io5M4sgklGPNbl9IWF2X316GsI1RrOUUdjCCjujuHD0a7rtPfKn699fKtaewYQN89pm8vLdtk+eqvLzjjh9AGRNZzzRW1aX4FkLl1eBV5/+3m2FsZySHGOhoKkjKIbpVi+qAAeLHN2uWWExGjZI6w9kAysiQ+sLLS56xggLZLyhI6gVPW0+tFVGVmirW+9TUht/T0zvGuuVPOXNYxrl8xHw+Zxi7mzTESgji39zEX/g5B0gGpNyGD4errhKr87Bh+qxD9xJOq4G11trbHL+9gHTgSWvtI81s/xYQbK09z2XZKmCjtfZmN8950gqnQ4fEYXvhQjHHV1Q0v11f8riCt7mW15jJirrltRgWcwYbGU8JwSxnJsuY43a3kTEiXkaNkuSs9JKTpXJLS4N33hEn06yshvted51YPWJijvPiuyGVlfDf/8Jrr8HXX4vIahtLAgeZxDrmsIxTWEsy++lPVot7HCSepcxlAxPYwAQ2Mv6ER/6FhEhr/aqr4OKL1fm0O1FTI9bPTz6R+2v9+o45bgBljGYrw9lJNDkks5+prGY8G5s4ZjsFUhmBZDCALYxhBTP4nPkcJdLtc/r7i0C67jqYPl3qD9+O6aXutlRUSF3YWFQdOiThWrKzxarVXvyoYBTbmMU3DnvT18SSXbd+PRNYyPm8xrXsYVjd8sREuPJK+PnPT27/qG4hnIwxfkApcJm19j2X5f8BIqy1Fzazz0Hgr9baJ1yWPQhcZK0d5+Z5TyrhVF4OCxbAP/8pjp2uBAWJSVn+YstMlvMz/sr5LKyrCGsxfMVs3udC3uESDpLY5jn9/UUQjR4t3WNOgRQeLo6lq1fXO5zu2iVdgo1N15GREqPkjDNg2jSJadSbsVYqx9WrxbdkxQopm7asUk4CKSWJA3XdfSnsYgxbmMpqAmlqXkglmQ1MII1EsohlOyPZwAQyiaO91ikvL2mZPvmkmPl7MseOwaefSvlHRclLA+RlPXOmWNq6G7W1YpV9913J+5YtJzrk3xJPOhPYwOks4VS+ZiCH6Es+XjT/PjhMrIu9aRrfMplSgtt9ZmOk3vjRj+D//q/3i6TjwVqxqu3aJX6n//639Bi0/1VtOY0vuZs/MZ/PG/y3X3Eqv+O3LOF0nPWBry/cdBP88pcyCvdko7sIpzgkbPkMa+1Kl+WPAnOstVOb2acSuMFa+4bLsluA+621zdoijDH+gL/LolDgUG8XThkZ8Oij8Mor0k0EUikNHSr97EeOgBc1XMtrXMI7jGcjSdSPI17HRF7jWt7kKg4T1+q5IiJE5Nx8s0S5tVZaSZ9+Kv36x45JZb5lS8vH8PMTa9KsWTJ8dv58WaaI38S6dSKsFiyQrj7nf9oWgZQym6+YwhqHvWlDg/+5MTlEsY1RdUFAd5HCJsaxjDkU0KfN8xkj98DDD8PZZ7t7hcKGDXLfJiZKxdyZEZKLisTyunChjA7dtUvERls+PqNHy7157rniK+OpLoyCAhFK77wj3b7O7qj2EkNWg7hHQ9hLImmEtRAcOYcotjKaw/Qnkzi+ZTKrmMZBEjjR7mCn+D6ZrRrHS3W1NEAXLpTPTZukvnCXKHI4i0+4ijc5k0/ruvQ2MJ7Pmc97XMRKpuP8j0eNgjlz5D+bPfvk6Mo72YTTA8D9jZf3VuFUUiJdWo8+Wu/UHR8PffqIv1BVlUTTvZQF/IaHGM22un3L8edlvsvf+AnbGdXiOUJC4I47xN8oO1vCEaxaJZ/btrXcBWgMTJggARyTksRSER8vztoDB54cD19HYa1MMfHll1JZfvGF+y/PPhxhPBsZy2biHE68Y9nMCHa0OKKpBi92MIKj9OEASSzmDL5lcl18mpac/728RGz88pfStef0RXFSVgZvvQVPPy3WSCfe3mKpPPVUGUY9d27L1gfXEVC1tdIwcC47elTEWH6++PYsWCA+JIWFrbfQfX3lPg8Ors9nfqOQY6NHy8ikuDhpPAQGyr1fXi739bhxJ+ZTt2NHfVfb/v3iazJ9uvzf33xTH2HfHWLI4hTW1qUh7CWKXCJoPgR3FT7sIoWvOZXFnMEehnKY/uTRj7YEkpeXXHd1dX0ZR0ZK3eMaumDECHFGnjFDfJaSk92/HqVt8vLgwQfh5Zfdt1wDxJHBL/kzN/McAdRX5iuYzkP8hkWcjes9MHGi+D5eeGHvrsO7i3Dqkq66k8XiVFsLr74Kv/qVvChAXjyFhfW/AyjjZp7j5/yFgY45Co/Qh8f5KV9zKhuY0GJogOhoOP98sSrt2iWO5UuWyEuoOXx9xXo0a5aItgED4PTTZQoFpeOpqZHo7OvWyf/jFA85OdICzc+vHxHYEk4flmHsJoByIjnCCHYwnZWMYGeL++XSjy+Yx2qmspXRbGNUq11+ISHiExUaKvePs1vJ11depgcPNhWBkZGQkiIv38OHxYpZUSEvZ6eA6MiwEh2Fl5c4I0dGygCIGTNgyhTp0oyKkgaEU5w5R2d++qmEA2jNQtsaYRQymW85hbVMYQ2nsLZFZ+1aDDsZzjomsZ6J7GAEaSSSyiAqG1SbTQkOluvo00cshNHR4lTs4yM+Ol9/LQ0qVyuev7/4xP385yKWlM6npka69FasEL+3Zcvc85GKJpv5fM53+IwreLtORH3BadzLH1lDQ9tGdDR873vy/44f3/t6DLqFcII65/A11trbHb+9gIPAU604hwdZa893WbYC2HwyO4d/841EiHW22Pv0kZeRc+RMFDl8jxe5nScZQCYg8YGe5cf8jZ806yhsjIxA+dnPRDBt3QrPPCMtYNeK0NcXJk2SlvC0adL6iIyUl6L6J3QvCgrkRfbss/JSc7e7D2Ag6QxnJxEUMI5NzOdzhrCXvhxp/lyEs41RbGckOURzhEi2M5LNjG3Tj8o1ls7JwvGIPj8qmMAGRrKdYewmhV2MZDsp7G6ybS2G7YysszltZTQ5RJNOvNu+SM6Jq6OjxQLWlhB3Mny4WJbOOku6dYKazhqidCHWiji/4w7ppnaHGLL4OX/hdp6sE1CfcwZ/4ed8xneaWJz9/OSd4JycePr0nj+ApDsJpyuB/wD/B6xBwhFcAQy31mYbY14GMqy19zq2nwEsA+4BPgKuAn7FSRqOIDUV7r4b/vc/+d2w8rWcytf8mGe5lAV1UWfTSOD33McrXN+kRentDZdeCn/6k7SG//1veOKJpn3lEyaI0/YZZ4hFSSvCnom14oj+2mv1kcSdlhx38aWSU1jLPL5gHJsYxTaGsqfFLj+APPqyiXFsYhw7GU4O0WQRy26GtWvE1cmAoZYICoghm+HsZByb6qLVT2BDg64UV1JJrhNJa5jCeiZSQojb5/X2lhQUJNaJ5gJhBgfLdD/OSakjIsQ9wNdX/NRGjRLBlJR0fNeudC7V1SKgXntNPo803wZqQAJp3M+DXM8rdQOI9jGIl/kub3IVu0lpdj8vL7G0Xn21jMTtiX5s3UY4ARhjbqM+AOZG4A5r7WrHuqXAAWvtjS7bXw48RH0AzLtOtgCYhYXw29+KBcjVzyGWw4xhC2PZzE38u0GwudVM4Vl+zBtc3UAw+fuLs+sjj0jF98ILEvNl/fqGL9DYWJm24+c/h7Fju+AiFY9hrTiXvv++dPM6g/jl5Ykls7KydSdqPyoYxm5GsY0UdhHJEWLIZgxbSGFXq6KqiNC6ub1yiSKbmLqpeLYzkgMkdZuAqidCIKXEk04CBxnIIaLJqYuc7ZqiyG1xDjaAbKLZxDh2M4xdpLCLFNYzkXxaH95ojAgjP7/65PQJa86SFBYmjarRo0UkTZokoQF6s0/LyYS18pwvWAD/+EfLcf2cJHKAO3mCG3mpgZ/cBsbzXy6vaxSlMgg/P9PgnvL2FkF9ySUipkaO7Pr4esdDtxJOXU1PFE6VleK78sEH0jpw9SvqTyYX8j7X8Dqn8k2D/UoI4jWu5TluZgMT65aHhMiw0jvvFMuSs9WxcGHDsADJyeLUe+21UnEqiis1NTJX4eLF0vW3e3fbsaj8KWcU2xjHJsaymSHsrZs2wtmN3BbVeFNKUN1EzY1TEWHsJ5lDDKScAAIoZwAZRHKEIEqpxI88+pFP37rPfPpiMfhRiR+V+FKFD9V4U9Mg+VJFMCV18xc6vwdShi9VTZIP1U0+AylrsYuzJQoIZz/JbGQ8OxnOAZLYwAT2MJTG3Z7GSAvfmPY5kDsJCBCfxOho8UM64wxpXHXmKEel+2CtCKelS6Xx9NlnLftEBVHCpSzgKt5kPp83Efl7GMJ7XMR/uIFtjCYmRgYUudK3r4xSPess6dbrrqFnVDh1Y+FUXi6jf7ZsEafer78W0eRs4ftQxRi2cBafcBHvMYW1dfvWYthFCnsYymd8h1e4vs7Ze8AA+PWv4fvfF+fb556Th6Jxy2L2bBkpNGuWOHxqi1JpD9aKgPrwQ9i5U+6vAwdkOhsvL1lfWyupceyuYI4xgAz6kVdnc4ohmzgyGcZuRrKdWLJajCXU0ygmhDQSSSeeLGLJIZpcohrZnGSZ00ocEQHnnSfP6OzZbfsRVlTUR6reuFEsiM5n2vUzJKTeWT0xUf4rRQGZx/Kvf5VQEa3NXdiXPC7hHb7DZwxhLyPYgT/1pqZ1TGQxZ/Alp/ENsyghBC+vptbrceMk4OnVV8t7q7ugwqmLhVNtrXSv5edLBZafL6OdDh0SEbNtm7xgjhxpquxjOdxgKoNTWNtgQsdaDKuZygIu5U2uIoN6uR4fD5ddJjdfUZGcc/nypqN1kpMlHsf114tfgqJ4grIyeOopiQHVUmgFH6qIIpcgSpvYmgIox58K+nCUQaTSn8P4U0ElfmQwgDz6UUoQflTSjzz6kk8/8uq+W4zD3uRHFb5U49PI3uRNFb6UEOywN4XUfS8noIGtqRI/qvFpsMz525mfQsJpyUk+IEAEzJgxMhpv0CAZeDFpkjZmFM9QViaN+vXr4aOP4PPP60PeNEcIxZzJp1zD6w2CKoOEu1jFND7kPJYzkwMkcZj+1NKwz27AAPGpnTlTRmVPnOi5bj0VTp0onBITpdI3RkRQRUXrEzp6U81wdjoCUB6o83twfjYXiK6AcL5hFu9zIQs5n2xi5Vje0iItKak/Z3MmVmMkOOEPfyiWpZ4e7VnpfZSXy2jRt94S61XjKXh6Mn5+4ttx7bUS+wakYVVRIV3ifftq17jS/amuFr+o1FQZMRceLvfxunXw/PNiEHASRQ5n8imn8SWn8SXJHGhyvEp8SSee7Yys89vbTzKpDOIw/Zv1a3T66nl7SxgMPz+pN0aO7PjrVeHUicLJGBFD4RTiTwUGSwzZDGM3MWQTTiEDyCCJAySSRhIHWhwZA2JR2spoVjGNlUxnFdPYRYrbzrF9+kiE1/79pTKePFn6kXvTnG9K7ycrqz5I5t69YrVtTzgFTxEUJK3l66+XZ2/oUM9PMqsoXUVJiUS4/8c/JECy0+cuif2cxSecy0eMZDvxpLc6CKICP9KJ5yAJpJHIQRI4SEKdJdnpr3iMEM46y7BoUcdfiwqnThRO+01ys2q6NYoJYT0T2cdgDpJAOvF1N0njOCvGSGXct6/ER4mIEBNqnz6iskeMkOVBQWJ1GjiwZ4xYUJT2Ul0tXQfbtkkFXV4uz0JJiUSoLiqSFnBBgaTqahlFWl4uIwRLS2WZn584PkdHy/MyerR0D4Q4Ru9XVNR3rx8+LKmoSLrTnM9WUJA0RqKi5NlMSZFuNXWoVpR6amrEgnzfffLsOntGvKghjkwGkcpotjKOTQxmH8nsJ4GDrY7EdaUSX8b67WJnRceHofe4cDLGJAH3AfOQMASZwKvAH6y1LYZVc4QnmNNo8fPuBr90HKNThdMeM5ShiMd1Nd5YDAVEsJPhdX4Nh+lPGokcIIkDJJFGYgMLkre3OMidf75U4pMmSYUcEKCtVUVRFKV3UF4ufrePPQZffdW8z5Q31QzkUJ37SgIHSSSNBA4ygAzHmNj8usnMY3yPkF3Z9rya7aU9wqmzXtPDAS8k8OVeYDTwAhAM/KKNfV8AfuvyuxX3tK5nLkspJ4AiwqjGvdDZ4eFwzTXw3e/KvG3q/KkoiqL0dgICxOn79NPlt7VikXr8cfGVKiqCGnxII4k0klo9ViCl9COPwZMiOj3fbdFlXXXGmF8CP7bWDmplm6XARmvtnSdwnk61OHl7tz3DOkjX2jnniIPoGWfo9CSKoiiK4qS2VvyiXn8d3nmn9QEirrNmrFwp0391NB7vqmv2RMY8BJxlrW1x6keHcBqFjOHNAhYCv7fWtmh1ammS3/T09E4RTmPHSpRlV4KCZJj/mDGSJk+WLjiNlaIoiqIorVNbK/Olrl4tscjS0iRe3J49TaeI2ratc4JoFhUVER8fD91FOBljhgDrgF9Ya19oZbsfAWmIT9RY4E/IJMGXtLLPA8D9HZphRVEURVFORgZaazNa26BdwskY8whwdxubjbDW7nTZZwAyce9Sa+0P3D6Z7DsPWAIMsdbua2GbxhYngEho55wH7hMKHAIGQjNBmJTORsvfs2j5exYtf8+hZe9ZuqL8Q4FM24Ywaq9z+F+Al9rYJtX5xRgTB3wJrAB+1M5zAax2fA4BmhVO1toKaBIoqVUz24lg6j27i9sy5ykdj5a/Z9Hy9yxa/p5Dy96zdFH5u3Xcdgkna20ukOvOtg5L05dIF91N1lo3XKqbMN7xefg49lUURVEURelQOsV92SGalgIHkfADUcaYWGNMrOs2xpidxpgpjt+DjTH3GWMmGWOSjDEXAC8DX1lrN3dGPhVFURRFUdpDZ8Vxmo90rw1B+iRdcdrbfIEUIMjxuxI4A7gTifeUDiwAHuqkPB4vFcCDNO0eVLoGLX/PouXvWbT8PYeWvWfpNuXf66ZcURRFURRF6Sw00pCiKIqiKIqbqHBSFEVRFEVxExVOiqIoiqIobqLCSVEURVEUxU1UOCmKoiiKoriJCqd2Yoy51RhzwBhTboxZ7YxDpXQcxpgHjDG2UXKdxifAGPO0MSbfGHPMGLPAGBPjyTz3ZIwxs40xC40xmY6yvqjRemOM+Z0x5rAxpswYs9gYM7TRNpHGmNeMMUXGmAJjzL+MMSFdeiE9FDfK/6VmnodPGm2j5X8cGGPuNcasNcYUG2NyjDHvGWNSGm3TZn1jjEkwxnxkjCl1HOfPxpjOCvfTa3Cz/Jc2c/8/12ibLi1/FU7twBhzJfBXJJbERGAT8KkxJtqjGeudbAP6u6RZLuseB84HLgfmAHHAO12dwV5EMHIv39rC+ruAO4CbgalACXLfB7hs8xowConhdh4wG/hHZ2W4l9FW+QN8QsPn4epG67X8j485wNPANKTsfIHPjDHBLtu0Wt8YY7yBjwA/YAZwA3Aj8LvOz36Px53yB3iBhvf/Xc4VHil/a60mNxMyd95TLr+9gAzgHk/nrTcl4AFgYwvrwpFgqZe5LBsOWGCap/Pe05OjHC9y+W2QKY9+0eg/KAeucvwe4dhvsss2ZwG1QJynr6knpcbl71j2EvBeK/to+Xdc+Uc5ynK243eb9Q1wNlADxLhsczNQCPh5+pp6Umpc/o5lS4EnWtmny8tfLU5uYozxAyYBi53LrMy/txiY7ql89WKGOrouUh1dEAmO5ZOQVonr/7ATmd5H/4eOJxmIpWF5FyKNCGd5TwcKrLXfuuy3GHlxT+2ifPZ25jq6IHYZY541xvR1Wafl33GEOz6POD7dqW+mA1ustdkux/kUCEOsgIr7NC5/J9caY/KMMVuNMX80xgS5rOvy8tc+WPfpB3gD2Y2WZyMtEKXjWI2YWnchZtn7ga+NMaORl3iltbag0T7ZjnVKx+Is0+bu+1iXbXJcV1prq40xR9D/pCP4BOka2g8MBh4GFhljpltra9Dy7xCMMV7AE8Bya+1Wx2J36ptYmn8+QMvfbVoof4DXgTQgExgL/AmZru0Sx/ouL38VTkq3w1q7yOXnZmPMauTBuQIo80yuFMUzWGvfdPm5xRizGdgHzAWWeCRTvZOngdE09KdUuo5my99a6+qrt8UYcxhYYowZbK3d15UZdKJdde6Th6MftdHyGCCr67Nz8uBo7e1GJo3OAvyMMRGNNtP/oXNwlmlr930W0GCAhGNESyT6n3Q41tpUpD4a4lik5X+CGGOeQpzqT7PWuk5M7059k0Xzzwdo+btFK+XfHKsdn673f5eWvwonN7HWVgLrgNOdyxymxdOBlZ7K18mAY1j1YMRJeR1QRcP/IQVIQP+HzmA/Uvm4lncY4jvjLO+VQIQxZpLLfvOQ+mU1SodijBkI9EWeB9DyP24coTaeAi4G5llr9zfaxJ36ZiUwptHo6vlAEbC9s/LeG3Cj/JtjvOPT9f7v2vL3tBd9T0rAlchoohuQkSzPA0dx8ebX1CHl/BgyTDUJGV76OZALRDnWP4t03Z2GOG+uAFZ4Ot89NQEhSGU0HhnR8lPH9wTH+rsd9/kFwBjgPSAVCHA5xiJgPTAFmIlYCF/39LX1hNRa+TvW/RkZrp2EvMDXOcrXX8v/hMv+GaDAUd/EuqRAl21arW8Q39ctiEPyOOBMxOfsYU9fX3dPbZU/0mC+z1HuSY46aB+wzJPl7/GC62kJuM3xEFUgrbmpns5Tb0vAm4gjYAVwyPF7sMv6AKQ//AgSU+gdINbT+e6pCfGVsc2klxzrDRITJQtpOCwGhjU6RiTixFmMDAN+EQjx9LX1hNRa+QOBjhdCDjIs/gASnymm0TG0/I+v7Jsrdwvc6LJNm/UNkAh8DJQijbzHAB9PX193T22VPxAPLAPyHXXPHuBRIMyT5W8cJ1UURVEURVHaQH2cFEVRFEVR3ESFk6IoiqIoipuocFIURVEURXETFU6KoiiKoihuosJJURRFURTFTVQ4KYqiKIqiuIkKJ0VRFEVRFDdR4aQoiqIoiuImKpwURVEURVHcRIWToiiKoiiKm6hwUhRFURRFcRMVToqiKIqiKG6iwklRFEVRFMVNVDgpiqIoiqK4iQonRVEURVEUN1HhpCiKoiiK4iYqnBRFURRFUdxEhZOiKIqiKIqbdDvhZIy51xiz1hhTbIzJMca8Z4xJ8XS+FEVRFEVRup1wAuYATwPTgPmAL/CZMSbYo7lSFEVRFOWkx1hrPZ2HVjHGRAE5wBxr7VdubG+AOKC4s/OmKIqiKEqvIRTItG0II58uysyJEO74PNLcSmOMP+Dvsqg/sLOzM6UoiqIoSq9jIJDR2gbd2uJkjPECPgAirLWzWtjmAeD+xsvT09MJCwvr3AwqitL7sBYOHYKdO+Hjj2HBAigsPOHDVuDLv7mJv/Bzcohtst7XF/r0gZkz4Sc/gQkTTviUiqK4SVFREfHx8QDh1tqi1rbt7sLpWeBsYJa19lAL2zS2OIUChwoLC1U4KYrSPrZsgR/+EFavbrg8MhJOOQU7MJ796d7syAhnw6EoDhcGUosXtXhhsAyLLmRkdB5R5BJWkUtIRT5BpbkEHsvFr1y8B2q8fMhMnsnGvmfwYdZk3j08jdyqiCZZmT8f7r0X5s4FYzr/0hXlZKaoqIjw8HDoycLJGPMUcCEw21q7vx37hQGFKpwURXELa2HjRnjhBUnV1eDjAykpMHkyXHcdzJtH3hEvvv99+OCD+l39/GDGDDj/fLj8cpAGawt88QX85jewcmXD0wcHU3XLneRcdQdpZdE89xy88QbU1Mj6qVPhnnvgggvAqzsO51GUXkCPFk4O5+4ngYuBudbaPe3cX4WT0umUl8O2bVBcDKWlUFICR47A/v1w7BhERcHAgTBiBIwcCRERns6x0oBdu0SdfPop7NjRsCvu4ovh6aehf39qauDtt+G//4XFi+X/9vOD226Ds86SbrWgoHaeOzUVFi2C5cvFspWaWr8uPh7OPJOM82/mj59N4l//knsNxAL1yisQE3PCV690EpWV8PnnsHs3ZGU1TLm5EBIC4eFSVxw9KvVCTAwMHQpDhki94esL2dkikkeOhKQk2WfAAFmndA49XTg9A1yDWJt2uawqtNaWubG/CielUygvF3eXV1+FZcugrM27sZ7+/SE6WirDuDgYNUosCbNnQ79+nZfnk5rqavFTMkbeSMXFonb/9jex/rji5yeC6Uc/gtNOA2NYtgxuv11675yMHAmvvQbjx3dQHq2F99+H3/8e1q9vuC4mhsrkFDaWp/C/bSN4vepyqmMG8q9/wbnndtD5lRNm3z5YuhTWrIF33oG8vIbro8lmKqsZy2Z8qMaLWoayhwQOkkM0R4ikL/lEk0MM2fhSRTrxpJFIGokcJIE0EikIS2TmNYlc/+MQxo71yKX2anq6cGopQzdZa19yY38VTicL1dXSNMvMbJqysqCoSF6WxcVQWytNuvh4We7tDWPGQGKirKupkc+4OJg2TXxaEHH00kuwZIm8a48erT99v37yPg4KguBgCAurbx3m5Yn1aft28TNuC19fOPVUuOwysWKMGKGty3Zz6BD85z/S7ZaWBlu3tqxuvb3hzDOlf+2UU+Te8K93lfzmGzj9dLEghIeLgLrwQpg4sRO7y4qK5O3773/D//4nJ3ehwvjzpL2Nt7mClCvG8+TzfmrJ9ADFxbB5s2jy//5XjJZO+pHLqX22cUnCt4wuXU1y7hrCCw526PnziSQvMIHqSVNI/PE5hJw6Ueotb+8OPc/JRo8WTieKCqceTm2tvAAzMyE/X/rBCgqaF0fZ2dJi7wTsyJFkJM5kweoBZBwJ5Ctms5qpDBxo+MEP4NJLxWrkjtNuUVF9b1BNDRw4IBXvN9/Iu705AgPlnf7978vLOiSkQy+v97Bli5gBv/kGvvxS7h9XwsLkhXL0qBRq//6igO68ExISmj3k3r2infPzxXfppZfqdHTXceyYvJl37ZK0ZAmsWFG3upRAFkVcw8y3f0Ls/DFdnLmeR36+CJ6BA8V9rT1YK3/FW2/JIMv16+v9z+LI4Ee8wPnhXzG0ahuhpTlND2CMmConTZIWlrUwaJA02vLy5N7s109M0jExcr8ePCjiPy0NDh7EpqVRvS8N32MFzeax2tuPmikz8L/4HBg3Tvr+EhJUTLUDFU4qnHoOubnibbt+PWzYIIqipMT9/b295WUYF9cwxcaKA0FICISGSmW1a5dYosLDRZBt2gQ5OXIMb28whpqdu/Heu7vZU5UmDidg3ky8hg8TT93hw0/48ouKxChSUCDF8NFHUgxFjR7bgQPFV3ncOOmmOfXUk9wiVVEBDz4Ijz5a/xYD6fu86CIx/Y0YAcOGiYmourruP26NJUvg+uvh8GHxC1+27Dh8mDoDa8Uv6plnqP56JT5F9WHtdl/2K4a+8TuMj74kG/Ovf8Fzz8G6dVKEPj6iT0JD5TM+vmGKipJqYd26+jbb+vVSbQD4UcEN/IfzAxcz2C+dlKK1eNuahidNTpa+3KlTYcoUuZFCQzvmgoqKOLIhjW/+s4/i95cw6cjnDGYfvlQ33dbPTwTU6afDeedJF3R7VeNJhAonFU7dn2+/haeegjfflJegK76+In769ZO3VliYeEY2FkfObdrRqqqpkcbczp2Stm8Xq09JidRt69dDSHkuM1jBTO/VzBhxlKmD8/D97KOm3T5TpsDgwdJKnDIFZs1qY1iVe1grPsPPPSct3NzcptuEh8M554hV6oILTrKG5dq1cOON8ueBvBTOPRfmzROh1E5qa0Ugvfii+C9ZK5pryRLR5N0Oa8lasJxN33uCM4sXALA64jtEfPQ6KTP6ejhz3QNr4e674c9/rl/m6wtVVcd3vDCfUv487AWuzXyU4ILMhitnzxa1PW6c3DhdZB62VkTeF5/XsPbNfUSt/4TT+JJh7GYw+wigUb0aGwuXXCINvpEjRdipKbuOXiGcjDG3Ar8EYoFNwO3W2jVu7KfCqTuyZYuMYkpLE8Xi6gg7YYK0isaPl+8pKR2iBIqKRJ+tWSNWnJ07ZbSLc5RSS4wZI6F8rrtOAhLWHezjj8VqtWYNfPJJ024hkGu46CJxNB4zpkMC8Bw5IqfdsUN6pD78sKGYGjxYdMS0aTI0vltYSDqDigp44AGxMtXWisng2WflZdBOrBXBvGCBuEUdOFC/7kc/gscf7/7lWFQEi777Oue9/0OCKSWNRJb/9H9c/ZfJJ33cp9tvl3YZwG9/CzffLO2bjAzpHSssFCtSerqkgwflMztbqp8ZM2B46XpGbPsfCVX76LtlKSbX0Q03YADccotsOGpUh1ieO4KVKyWaxiefQPbhGgZyiEms46qwRVzEu/gV5TfcwdtbriE5WVJSUv3n6NFisTqJ6PHCyRhzJfAycDOwGrgTuBxIsdY204ncYF8VTt2Jb7+Fn/5U3viu+PrCFVfIuO6pUztEYFRW1gsL5yjz5m5vPz8xTAwfLmn0aBFIhYXiejBxohvZOXxYxqfn5clbd8UKEYOuYiomRk40fTrccYdUuCBKaONGqaXz8qTZ6DR7GSMi8qqrxGm5GU/kmhqxSL37rlhJjrhMRhQSIg7mN98sxdrjsVb6TdaulTeh08p01VXw5JPHNSTxrbckLpKrWAoLk0N+73s9r9yyF2+h+sJLGFC6l1oMuUNmEPOL68VB7iTsmnntNWn0GCNddTfd5OaOzu78zz4T5/yvv264PilJIpLecEODgQTdDWvF42HRIvj736Wq8qWSs1nEPN9vGB2wl9HVG4gpS2v5IP37w623wo9/7AEHP8/QG4TTamCttfY2x28vIB140lr7SBv7qnDqDmRmwiOPSDyc2lqpwC+8UJpyMTEiDmKbTjvRHqyV9+k334hu+fzzpr5BiYn1bgbOxmFSUid1beXliWp7912pfF1NW76+cvK8PKnJ3KFPH+l+uvFGOPvsZjNdUiLhEZYulbBA6en16+bNE+vJ2WeLMOhxZGTIS2rJkvplx2llqq0Vo+ff/iaD1gACAuQ2vOYaMRAGBnZg3rsYe7SA7TN/yKgd/6tfOH48PP+8PAAnCbt3iw/2sWNw//1ioGyW6mpYtUoaPzk50mr6+uuGD5CPj4wCmTJFLDPf+U6PcywsLBSL29tv1/tpORnAIUawg2T2k8QBktlPMvsZbnYRYQsAKPUJZe2MOzE/+ylTz+rTnfXiCdOjhZMxxg8oBS6z1r7nsvw/yJx1FzbaXqdc6S6UlIhgeOcdadY7HQquuUacDeLiOuQ06eniRP3ss9KyciU6Wnx/nA7UHgsWWFIi1pGdO+Gf/4Svvmq4ftAgGfUSGSmCasIEEUoFBdJ/9OGHMgzISXIy/OEPYhZpwRxmrQjIF16QVne1w1/U11esahMmiJFv/vweEIH6/ffFYpKfL4pmzhwxBd12W7utTB98ID0rGY5pO42BX/9ajAfdvTuuPdTUwFWzDpGw6i1+6/0HwmuOitj+7W/hV7/q9danbdvkuU9Lk9tlyRKXtkZVlVguly2T9M03DZ8vJ/7+UnF85ztSbzmtxL2A8nLpkty/v75r0pkKC8UZft8+qK2o5Are5pf8mXFIBVtAOM/43sm+2Tcx4aJExowRd67oaA9fVAfS04VTHDIz8Qxr7UqX5Y8Cc6y1Uxtt/wDNTPKrwqmLqKyUltprr0mzxnVE3KxZUmnPn3/ch8/JETGwfLlYDHbvlgffSVCQHH7KFLEetNC75Xk2bBDHpL59RTTVOU+1QHW1VPT//a+YSJz9cbNmybI2rHUHD4qwfOcdKTNXnIMQg4Iapvh4uPZaEVkeIzcX7rtPLCUgau+NN6TF307Ky+Guu6RHD2Qk+Jw5smzOnA7Mczfi4EHxUfYtyOHNmDuZl/2GrDjlFHjiCbH49kI++0wGShQVSUiuZcsgrr8Vc+wrr0gl0ni0bmSkCKRhw+QBGDdOHL17k5puJ1VV0tbLzYUjebX4fvguExc+QHxBfdyUDYznRb7Hy3yX0TPCueIKKcbhw3v2nIonm3DqMRanmhpR9oWFYlhw/XR+Ly8XC4Ez7d8vFuWMDGkg+fpKt4szhYY2/N3acm9vOY+fn7y7+/Vr541urdh7v/1W+sjWrhVF49pyS0oS5+grrxRv5XYefudOOaQz7Wlmwh0vLzE+XHqp+KS0pUF6PKWl4q38xz9K5T94sPRLJie7tfv+/aLbvvxS3iMFBa1vf9ppMtixS1uTu3ZJ1+4bb9SPsvzFL+Chh47Ln2TXLjHObdwov3/2MzHYBQR0XJa7K998I92zx47B71Ne5VcZt+B1zPGMzpkjJtlrrpEYF72A558Xd5yaGjEWvfsu9PUtkn7qt96q3zAyUoTR7NlSDuPGnWTDUY+T2lpq/7uA0j89SdDG5XhZ8eM8RjBPcyuP8QvyiKJ/f3EPmDtX6ueRI3tW8fZ04dSurrpm9veoj1NpqVTWGzfK98pKaeysWNEw6nR3IDRUBNTgwTB4kGV0VDbDAw7gW14MRUX0P7KVfoe34JOVIYLp8OGmoQNA3rDnny++ODNntkuNZWeLf87774tDt6ujs5NRo6ShfMopYngYM+YkEEvNsXevNO327xfzydy5IlCdnrBuUFYmevfYMbk/S0tlWUmJCNUPPhBj19Ch0opPSurUK5J+lfvuE4ul07F+8mQRUaef3u7DFRTIoLsnnpDr6tdPRs2dc06H5rrb4yqeUsIO8/643zJs+YsYZxkHB8s0L7ff3mO78PLy4Oc/h5dflt/XXw8vPFaI//N/F2e2/Hy5tl/9SkZMjBrVTc3RPYi8PGlVPfts3UCNCq8A3uZK3q69lBKCySaGHYygX5QXV1wh0UImT+7+U0v1aOEEdc7ha6y1tzt+ewEHgae6k3N4TU29U+6WLeJvs2dP28GsAwMlDk9ERNPPgAAxlzpTdLQMyho6VIROdbWYo52puLjh75aWFRXJvuHh8kI5dAiiyOEsPuEcPuY7fEYkbSs76+WFHT4CrymnyNMwbZp0p7hRITktSp9/LkNnV61qOLLJWTZTpoj+mjlTrv2kFEktkZkpjhxOUwqImPrnPzskhtSuXTITSVqa9Ab+73/yP3Q4hYXw8MPygnOK8fPPF8ejadOOy+b/5ZdiZcpxjLs9/XR5qXaQa12PY+dO8a1f4wjicvqg/fws5SMm7niV2AOrZeHUqdKVNXSo5zLaTo4elRhnjz0mDS1jJBbqb87dgLn0kvpKZcgQuQGmT/dofnsl1oqj6YMPSg9EIwoIZxXTWMEMVjCD1UwlYWQo550nj/n06d3PGtUbhNOVwH+A/wPWIOEIrgCGW2uz29i3U4XT44/XxwJZsqT5echiYkRTREbKQz1mjHR/JCSIcOmU8Bg1NfLWS02VDJaVSb+f87O8XDKdmgp5ediKSjiUjnH5/2vwIsdnAEXefSj3DmJ79TDWVI4njUQO05/D9CeLWKxfANOmySC5c84Ri1Vzg01yc0UkffmlCMq9e+sddJ04ZyM491wJ5HjKKSdd+JD2U1srIQzefx/+9Cf5bwMCxAP65z8/YaWQmSnWis2b5X/985/FJ7tDKrqqKvjHP2S4k3M21LlzxUx0yinHdcicHPFjevhhKZqUFDnc+ef3bJ+LjqC6WrTpww/XW3MNtXyff/EXr18SVltIpW8QGd+/n4TH7sA7uHv3ZS5cKH54Tu+AGwd9xR/Hv0ls1SGpbMrLpQv74YfFytRDrWk9BmulBfzPf0o4lspKaXU18ierwYt04jnEQNYzkTUhp5M3ei7hCeEEB0v1FR0tVVf//vWhpFyf35oaMbYPGdI5l9LjhROAMeY26gNgbgTusNaudmO/ThVOCQkNR6z26SMv/fHjYexYEUkxMR1YYVdWindvbm5934ozHTsmSmTPHjF7FRa2//gTJ4r6OeccGcfbSLXk58vpN2+WgWFLl8qL1RUvLzF2JCdL+cTEiE/NF180jRHp5yfuBXPmiGHhlFN66FD57sKuXRKt0xlzxhgRIvPmSc0zdy7HMxPssWMyqO3tt+X3xIlinT+uke1Hjkj/4L59Elhm1y5ZnpIiquy8847rgdmyRXTj22/XD+C84QZ45pmT2r+3WQoLJabR7t1Sf33xBUSVH+QlbmQeXwKQ4TWQ/JSZDPrOEEJ+8n23fei6ig8+EC1kq6q4I+F97gr4GzG7G8WHO+ccceRTM7XnqK6Wh9Ppo7JiRdOuBURMreUU3uMiFnAphYRTixf59AUMiYlwxhnSYEtLk16KsjK5lzsjdEivEE7HS2cLpwd+W0tJmRd9+0q9f/bZzTicVlfLm6e4WD5ra0VdGCM1fGqqDH+prJTf1dVif965U1RJZaWkigrxK3KOK2+LkBAxucfHy/eAAEmBgfIZHi5OTTExomASEtodS8laef8tWiQjtlataj0S97hxMupt4kQ53fjx4l6hdCDWikPSQw81DTQaECBvm4suErNnO4LZWStdIvfeK5WVtzf87ncylYVb1qfMTBFKTz3VsAUaFSUm/h/84Lji4qxcKX7yCxfWL5syReKsXnmlWpncobhYQhjt2lFLxMJXOH/1rxlg683B1caHbZNuIPZn1xBz6SyPmYFLckpY/MxuVn50hAPr8plrv+DKgPfpU+6cPM4PvvtdMfEPGSL3uPoxdT+yssRcdOAAtcu+pvLjxQSkNzPyBzjiE8Xm2jEcqI1nP8msYhq7SMGfCvoGlvHcN6MZO7HjLYkqnDrTx2n8eBEz/fvL2yMjQ5RDUJAInOLituf0aC/OudqCg+vHjgcGymdcnER5nDpV8tbFpmnnQLv9+0UPHjokv/v3l+HBgwZ1aXaUAwdE0W7cKM4tTuuOE19fEU/jx4uFMSmpfobTvn1FdQQEyD3nUCA5ORL43DlAadgwGc343e82msvN2YW4cKEkV9+HwYNlvPLUqXIwqaDcwlqxYL7/vqRNm2S5MaIJ775bLkU5fqoKS1n38KeseWs/w9M+4Tt8XreuyKcPR6+6hcTHbu+8wGglJVKvbtkCK1dSvmYzpet3EFl8sPntY2JEeN9yy8nrxNbTSU+XFvhbb0lXRnNTWDVHdnanDPlV4dSZwqlfP+m/cgc/P7H8eHlJ7e+0PDnnBAoMFKHj4yOe3ykp8gILCJB9/fzkBklI0Ga00n6sFfH0+uvi/7Fjh/v7+vmJZSg6GqKisFFR7Evz5dtV1djqanypwpdq4qKr6BtWTbhXEX0ytuJVcqzhcWbMEGVzHA5H1kr30u9/LwZaJ76+MoLqrruOK7yT0ga7d8PW574h6I1/MSHrY2Kon+XqSN8hMHkykfMni5VnwoT6vvbaWjFNBgfL/VNYKI6NTgt6drZYITMzRSQ5v2dmNg3578IRr35UR8US2j+EwBkTpWv39NPVGbI3UVMj78bychHPO3bIfbFjh7ihZGTI+zIwULr9OyEwaY8VTsaYJOA+YB7i25QJvAr8wVpb6eYxOlc45eTUP/Q1NRILJTBQfI6cAsiZ9MFWuhPO4ZWHD4s1aPPmhuGDOyBeRqkJYmvsfPJnnM+xOecSnhJLTEyd/mrTIGqtuOytWydhBD79VJYHBclovwsvFJ/C7j60ubdwYF8Nn936PuM+e5SpzbiYWmMwoaHyw+mWACKmWhFDzVFCEPsYzEqms45J+IwZyaW/GcFpl/XV3jel0+nJwuks4ErgDWAvMBp4AXjFWvsLN4+hc9UpyolQViaDEXJzpaHg/KypEXOPjw/4+nI414d1m3w4lO1LamYAi9JGsqN2GDU0r46MEQOsyyEICakPxeFsTLoOPvD3l8CVt9zSs+eS6+mkp8Onr+eTsXA9Vau+ZULNt0zmWxJpoSvNSWwsNjiYGuvNsZAY8nzjOFjVn53FcWzMjmNPaRyH6U8mcRQTyqBBhrPPli7YOXPU0K50HT1WODWHMeaXwI+ttW55y6hwUhTPUFoqhqyVK8XanpMjvTPZ2aK93HVh8PeXwQSTJklE6OHDOzffSvvIzpb5EN96C7K25hJOIQZLMaEUe/dhbHIxI6NyyfbqT3pxBPv2NZ3txElAgAz8POssGWgzdKiKJcUz9Dbh9BBwlrV2cgvre8yUK4pyslJTI66BxcX1wV0rK+WFWlAgqbhYfJZmzlTrUk9h3z4RyqtXy8DOxvMiOvH2FrfOYcMkSsaYMZKGDz+uGXUUpcPpNcLJGDMEWAf8wlr7QgvbPEAzk/ymp6ercFIURelC0tNFTGVmiotneLiMhUlMVJdPpXtTVFREvMy+0D2EkzHmEeDuNjYbYa3d6bLPAGAZsNRa+4NWjt3Y4tQf2NnC5oqiKIqiKC0x0FqXoGbN0FXCKQro28Zmqc6Rc8aYOGApsAq40VrrpncEGGMMEAcUH19u2yQUOAQM7MRzKC2j5e9ZtPw9i5a/59Cy9yxdUf6hQKZtQxh1SbREa20ukOvOtg5L05dIF91N7RFNjnNZoFW1eCKYes/F4rbMeUrHo+XvWbT8PYuWv+fQsvcsXVT+bh23W82A6BBNS4E04BdAlLOwrLVZnsuZoiiKoihKNxNOwHxgiCMdarROB6kqiqIoiuJRulU8VmvtS9Za01zydN5cqAAedHwqXY+Wv2fR8vcsWv6eQ8ves3Sb8u/W4QgURVEURVG6E93K4qQoiqIoitKdUeGkKIqiKIriJiqcFEVRFEVR3ESFk6IoiqIoipuocGonxphbjTEHjDHlxpjVxpgpns5Tb8MY84AxxjZKrtPxBBhjnjbG5BtjjhljFhhjYjyZ556MMWa2MWahMSbTUdYXNVpvjDG/M8YcNsaUGWMWG2OGNtom0hjzmjGmyBhTYIz5lzEmpEsvpIfiRvm/1Mzz8EmjbbT8jwNjzL3GmLXGmGJjTI4x5j1jTEqjbdqsb4wxCcaYj4wxpY7j/NkY093C/XQ73Cz/pc3c/8812qZLy1+FUzswxlwJ/BUZEjkR2AR8aoyJ9mjGeifbkHkHnWmWy7rHgfOBy4E5yBQ773R1BnsRwci9fGsL6+8C7gBuBqYCJch9H+CyzWvAKCQW23nAbOAfnZXhXkZb5Q/wCQ2fh6sbrdfyPz7mAE8D05Cy8wU+M8YEu2zTan1jjPEGPgL8gBnADcCNwO86P/s9HnfKH+AFGt7/dzlXeKT8rbWa3EzAauApl99eyPQu93g6b70pAQ8AG1tYFw5UApe5LBsOWGCap/Pe05OjHC9y+W2Aw8AvGv0H5cBVjt8jHPtNdtnmLKAWiPP0NfWk1Lj8HcteAt5rZR8t/44r/yhHWc52/G6zvgHOBmqAGJdtbgYKAT9PX1NPSo3L37FsKfBEK/t0efmrxclNjDF+wCRgsXOZlXn0FgPTPZWvXsxQR9dFqqMLIsGxfBLSKnH9H3YCB9H/oTNIBmJpWN6FSCPCWd7TgQJr7bcu+y1GXtxTuyifvZ25ji6IXcaYZ40xrpOma/l3HOGOzyOOT3fqm+nAFmtttstxPgXCECug4j6Ny9/JtcaYPGPMVmPMH40xQS7rurz8tQ/WffoB3kB2o+XZSAtE6ThWI6bWXYhZ9n7ga2PMaOQlXmmtLWi0T7ZjndKxOMu0ufs+1mWbHNeV1tpqY8wR9D/pCD5Buob2A4OBh4FFxpjp1toatPw7BGOMF/AEsNxau9Wx2J36Jpbmnw/Q8nebFsof4HVk/tpMYCzwJyAFuMSxvsvLX4WT0u2w1i5y+bnZGLMaeXCuAMo8kytF8QzW2jddfm4xxmwG9gFzgSUeyVTv5GlgNA39KZWuo9nyt9a6+uptMcYcBpYYYwZba/d1ZQadaFed++Th6EdttDwGyOr67Jw8OFp7u5HJn7MAP2NMRKPN9H/oHJxl2tp9nwU0GCDhGNESif4nHY61NhWpj4Y4Fmn5nyDGmKcQp/rTrLWuE8y7U99k0fzzAVr+btFK+TfHasen6/3fpeWvwslNrLWVwDrgdOcyh2nxdGClp/J1MuAYVj0YcVJeB1TR8H9IARLQ/6Ez2I9UPq7lHYb4zjjLeyUQYYyZ5LLfPKR+WY3SoRhjBgJ9kecBtPyPG0eojaeAi4F51tr9jTZxp75ZCYxpNLp6PlAEbO+svPcG3Cj/5hjv+HS9/7u2/D3tRd+TEnAlMproBmQky/PAUVy8+TV1SDk/hgxTTUKGl34O5AJRjvXPIl13pyHOmyuAFZ7Od09NQAhSGY1HRrT81PE9wbH+bsd9fgEwBngPSAUCXI6xCFgPTAFmIhbC1z19bT0htVb+jnV/RoZrJyEv8HWO8vXX8j/hsn8GKHDUN7EuKdBlm1brG8T3dQvikDwOOBPxOXvY09fX3VNb5Y80mO9zlHuSow7aByzzZPl7vOB6WgJuczxEFUhrbqqn89TbEvAm4ghYARxy/B7ssj4A6Q8/gsQUegeI9XS+e2pCfGVsM+klx3qDxETJQhoOi4FhjY4RiThxFiPDgF8EQjx9bT0htVb+QKDjhZCDDIs/gMRniml0DC3/4yv75srdAje6bNNmfQMkAh8DpUgj7zHAx9PX191TW+UPxAPLgHxH3bMHeBQI82T5G8dJFUVRFEVRlDZQHydFURRFURQ3UeGkKIqiKIriJiqcFEVRFEVR3ESFk6IoiqIoipuocFIURVEURXETFU6KoiiKoihuosJJURRFURTFTVQ4KYqiKIqiuIkKJ0VRFEVRFDdR4aQoiqIoiuImKpwURVEURVHcRIWToiiKoiiKm6hwUhRFURRFcRMVToqiKIqiKG6iwklRFEVRFMVNVDgpiqIoiqK4iQonRVEURVEUN1HhpCiKoiiK4iYqnBRFURRFUdxEhZOiKIqiKIqb+Hg6Ax2NMcYAcUCxp/OiKIqiKEqPIRTItNba1jbqdcIJEU2HPJ0JRVEURVF6HAOBjNY26I3CqRggPT2dsLAwT+dFacTOnfDJJ7BhA6xcCdnZDdcbagikjFJCAAgLrqFfZC39+vsycCBERICPj6Tycjh6FCoqoKYGBg6E+HgYPVo+a2pkm+RkiIzs+mtVFKXnYC3k5sKmTbBtG4SEQFAQbN4MBw5AQAAE+NXSp/QQ/crSiajKJcS3gqD+4UQMjSJ84mD6JEUQGAhVVVBUBFFRWvf0FIqKioiPjwc3eqtMGxapHocxJgwoLCwsVOHkYaqr4fPP4bXXRCgdO3iEgcd2MJydDGM3Q9nDUPYwgAyKCaUCfxJJw59K8uhLEWHEk47FsIUxHKY/4RTiSxU1eDdIVfiymbF8znz2MJRsYqggoC4v3t4itkJC4JJL4De/gYQEDxaO0qVkZMCKFfJS9PeHvn3lheZM0dEivL3U67PXsHcvPP447N8PEyaICNq4Efr6H+OauKX4HskmbW8VxQePUpuVA+Vl+NgqygmgnADCKSSaHJLZTxyZGCzBlOBPZYvnrMCPcgLIYADbGMVWRrPTjCQwEAbFlFA5eiKVKWMYGG9IToaJE2HAgK4rE6VlioqKCA8PBwi31ha1tq0KJ6VDsBYOH4aPPoKPX86j+tuNJJXvYAT1KZbstg/UQdRi2MlwVjOV1UxlAxM4Rgj59CWbWECEVFiYVFyjRollatAgqcxGjpQWptJz2bED3nlH0vr1bW8fFARjx8Lll8M110BsbOfnUek4ioshM1NE8p//DJ9+CuH2KOPYRDL7GcU2JrGOGaxoVfy0RSW+pJFIFrFU4E84hQwggzgOu7X/QeLZwAR2MIIVzOBb/1mYvpH4+4ulfNQomDIFxo2Tesjf/7izqrQDFU4qnLqEggL44AN49x1L3pJNnH3sbc7hY8azqcV90hnIToazixR2M4w9DOUgCYRwjEDKOEASR4hkEKmEUswBkvCmhkmsI4ICCgmnCt9G9qYagihlJsuZwzIGkIEfVS3mYTsjWMwZbGIcWxjDNkZRSnCT7WJiYMQIGDpUKrPRo2VZRAT07y9WLKX7UFsrXSwvvwz//S+kpdWvM0b+s4QE8PWVLtyyMkkVFdJlXOVyy3h5wXe+A9dfDxddJKJKOX5KS0XQNE5VVfKMjRkjqW9f949ZXS1C6ckn4YO3yuiXvp4EDpLAQeJJZyLrmcpqvKltsu8+BrGdkVTjQwER5BDNMUKoxocAygmkjCLCyKMf+0kmgwFU40M5ARxiIDXNeLkEc4w+HCWAcpLZz2i2MpqtDGcnVfhSgzfTWUkg5Q32q3VY1L/kNP7NTWxmXN06Ly8YPBimTRMhNX68WEhrauT6QcotuGn1pbQTFU4qnDqMmhrIz5cXS3Y27NoFG9fVkPflFkYfWMgsvmEsm+lPVoP9djO0zta0nZHs8x1BVsRwSrxCyckRC1VjwsLE2jNmDJx/vrS+cnLEv2DnTrEg7NghJviamtZybYkmh8l8yzRWMZXVjGAHAZQTyZEmFWkthk2M42W+y5ecRhFheFFLIGVkEscRmtbm3t4QHg59+ohl4uGHYfbs9pev0n5KSmDrVvjyS7Em7d4t99OxYyKe2ouXl4jhsDARVSUl8kJ2EhwMF18sXbxnnqkiqj1UVcG998ITT7T1zAoxMRAXB/36SddpZKRYhjMz5dmvrZV0YE8Vg0o2M5XVzGUp5/AxIZQ0e8xUktnLEHYzjPVMZAUz2EUKYDr0Wt0hkFKmsYoR7GAcm5jNVwxnV4NtNjoadOuZyNtcQSat9+WFhMBll8GwYVInXXSRlKHSPlQ4qXA6IbKy4KuvxDfps4+ria7OYDwbuZQFzGUpcWTiQ8NasBx/PuJcFnApizmDXKJbPYcxEBgo4igxUSrYwkKpKKOiJFkrlWVOTsN9AwOlsujbVyqI8nLZbu1aadm2dD5rIYKjnMFiprOSMWxhDFva7EI8xAA+5Dxe5Hus5RRaqnD79IHzzoNLL5VWYlmZtKr375eXe1FR/Qu+sFBakDfeKP4X5gTq8KoqeeH3dlauhAcegM8+81we/P1F3N9wg1ijTjYRZa1Y6KqqxOJRVSWCs6xMysK1WyktDa67Dr75Rn4HB0u3uGvy8hIRvGZN04EirgRQRgq7OJtFnM0iTmFtE8vNYWLZRQrpxJNOPKleQ1kZfAZHguMBcfxuLN4GDpSG2oABYln28ZG6ZNs22LMH8vKkkRQRUS+uAwNl38YWZ6d/XE2NpNpaqKyUASz5+dKV2BzRZDObr7iM/3EJ7+BLdd26WgzbGEUBERwkgXVMYh2T2MAEimn+/ebnJ+V+440wY4Zaxt1FhdNJKpxKSmD1anGAPHJEHtijR0VYhIXJw5yRIQ9zRIS86Pv0kQpv61bI3neMuLSVTC77ihmsYBCpxJPeRCQBlBDE58znE85iAxPYyuhmu7t6AtFkczHvch2vMph9hFFEDd5U4E8UeQ223coo/s1NLOYMtjGqWZN9e5k4EX7wA7j2WvmfQF5QmZkiYgMDpQUeHS3LMzJg6VJYvFjE4s6d0o34xhviE9Gb2LYN/vQnWLRIXmKt4eUlgjo5Wax/zm6NyEi53/39ZRtvb3mRrVgB69bJqKn0dHl+KioaHtMpuJvDx0esUD/7GUyd2nBdSYkc/9tv5RzffisNgBEjYPhwsVImJIhP1bBh8t92Z/FbWAgvvghPPw379jW/jbe3NAbOOUcaCS+8IIIqOBh+/3vp7j52TP6fIUPg/ffhrbdENLk2jgIoJ4WdjGYrc1nKPL5gEPubnO8oEaxhCquYxoecx7dMJjzcMH68nH/HDqn7XOnbVxo1YWHyX6elSR5ra+Uaq6ubnKZLiSabmSxnODs5h4+ZxfJmt6vFsJthdUKqJTHl5yeCcORIeQaio0UoJiY6GpIR8n+oP2c3E07GmFuBXwKxwCbgdmvtmla2vxz4PZAE7AHuttZ+3I7znTTCyVqxZixZAgsWyGd7HvwAyjiNLzmNL5nNV0xiXbMiqQI/9pPMJ5zFe1zELlLIIZpa6psy/fuLY3VioliRvLykhedMVVXyEurXT7Z1bZn6+kpFmpAglZdzn5oaeckMHFhvkbFWWm7OrsOsLPnMyZFKuaxMrE5O/5XycqnQnckYSbW1cvyqqpZfjAChFDGNVVzPK1zG/xq0cksJZD0TWcsprGEKGxlPFrEUEMHxdgN4edXnr3G+/P3lGlqyqgUHy8vtiiuO69QexTkCc/16eZEeOACpqfKftoSfn1gca2vh4MGm64OC5AUZEiLic9w4OP10ePddWLiw9f/dFWPkPkxOlntqxw6571xJTJT7NyZG7sWVKxv6TLlDfLwIqeRkOc7MmTBnjudH+q1ZIwIxo9XINs0TRQ5n8inTWEUwJRgsGQzgEAMpIgxfqhjBDmLIxmAZRCqnsLZZ5+1CwljOTD7gAr7kNPYwFNvG5Bfe3vJc1NSImHWH4GDp8iovlxQdLcnbWwTG0KHyfwcEyDPp7y8i2lnHOMW589P1u59fffLxkXvk8GFpFJSUyH169KgI7W++gYCsAwxlN+EUksKuOpmUQHqTfNdi2MNQvmVynZhaz0SOEdrq9Roj996QIXL+igoR+OecA7NmyfNzMtBthJMx5krgZeBmYDVwJ3A5kGKtzWlm+xnAV8C9wIfANcDdwERr7VY3z9nrhdP+/dKae+UVONQo1OfAgeJIGBsr1qSyMnkJZWRIS9EnJ4Nz+YjzWcjpLCGIsgb7HyCRr5jNV8xmOyM5QBJZxDaooCIjxbQ9YoRYS667rmcPqc3MFNH5xRdSRocPiwWisfUhnAKu4k0u57+cwlrCWgj3UUogOxnOHoaSSRxH6UMVvnUpkiPEkUkWsWxgAuuZSBqJtEdsRUWJL8NFF0FSEtx2m/j8APz0p2Kl6c4WDJCXxqpV8Prr8L//tWZRkhfqYPbhRS0xUZYbboC5p3vjFRqM7RPJuxuSWLg4ULpZtlpqSspIJI2h7GEIe+s+EzhYN1S8ICiO4KRofEcNo9+MYQwYE4nx82XrVrFCLV8OW7ZIDnyppA9HqcKXo/TBnf8qIQGmT4fJk2HSJBF527eLj152ttxrmzaJ6GvJ/2fgQBF80dHyXJ91VteG0fjXv+CWW8RKHRzcUHwEBEjX9Kmnyov+zTfBVlXRn8OMZDs/5lnOZyFetP8dk08k2xjFt0zmc+bzLZPJox8n6peUkCD11siR8jlihFhdQD779q3viusOOONBrVsnFuUVK6TODynNYaKLvWky3xLfTNznKnz4lDN5nWv4nPnkEQWIiOvbV94PLXUhggi+0aPFSjVihAj5qVO7f91yPHQn4bQaWGutvc3x2wtIB5601j7SzPZvAcHW2vNclq0CNlprb3bznL1SOFkrrfFHH5URQ86/zddXKuXzz693ECwokIfsxRdh3be1TGId57OQ8/iQiWxocNyDxPMpZ7KMOXzNqRwkscF6Ly9pXU2dKt1Jp54qraXejtO/6sUXpZsoK0vKNShIXoD9Y2pJrtxFct5aknLXMqpkDUNqdhJOq89bi+QTyUvcxB+5h3z6ERAglbuvr1SaTkti466js86CW2+F+fPh/vtFMIH8T2+9JdY9T2OtCIalS8WKlJoqL4DGvmv9yGUCG5jABiaynlFsI5RiIjlCKK2YnhwUE4LFEEhZAz+R9lDiE0Zxv2SI7IvvsaP4lRzBpzCfwOr681fiSzYxZBHLQRJIZRD7GEwqg1jLKRTQBxCrxejR8sJJShJLkjPFxNRbUWtrRTTu3i1C7dAh6UL68EOxwDZmxAixnMXFyXHmzhVrb0dSWQk/+Qk895z8dt53Xl7w3e/CBReINe+ZZ8R6l1C1l5/yODfyEsE0NImuZwKLOYM8+uFFrWPofiahjoaH0y+pFi/y6Mc3zGIfgwFDSIicx99fnr+jR+WY3t5iJRk0SMSFc5QeiMA75RTpqnV2cY8cKVbD3mQ9yc+XrtN33xUB3s/muHTcNS+m1nAKz3ALb3A1lfgzYID46s2aJe4d1dXyHy9fLuEcmrPkhoXJ/fed78hgieTkLrrgTqZbCCdjjB9QClxmrX3PZfl/gAhr7YXN7HMQ+Ku19gmXZQ8CF1lrxzXe3rHeH3CNdBEKHOotwik/X4bbvv66OCs6mT8f/u//xJwaGCiV77Jl8qL/3//AlpdzPa/wCx4jhd11+9ViWM1UFnI+H3IeWxhD41acn588EN//vhy/N7YuOo2KCvLXp7HgoR3s+mQ/MbWZhFHkYm+qopBwsohlfGQ64+wGBhzdWhc+oYhQFnIBH3Iu73AJKWP8ufFGeTm88YZUkM2RmAgPPigvje99T1qRsbHw7LPykuvK7p7iYql0P/hABNL+/Y1Hu1kGkMFE1teJpAlsaLb7wUkFfuxmGJXUq3YfqgmilBiym7X+FRPiCLE6lL0MqQt9kcBBRrCDKHKJI5Ph7CSJtCb7N6YW06b1pBbDRsbLSFIGN0jZxOB81pzC+Mwz4eyzxTLl08hdrrxcxGZGhrzAliyRLsDmRg4OGiSNm1Gj5MU2ZowIqvaSmgrPPy/1SGML4MyZIprWrJGBI+XlMJVV/JI/czHv1pVNJb5kMICPOYcnuZ1dDK87hpeXCBlnV6ePj1z/lVfW36ebN4tQq64WK+q770oAXZC66M474de/FmGqCMXFcm98/bW8B1aulPIbzg6u41XOZyFj2VK3fSFhLGMOH3ABr3IdFQRw4YXy38fE1B83I6Pej3LDBrkH8/MbnnvkSLjnHol91pMd0buLcIpD5nuZYa1d6bL8UWCOtXZqM/tUAjdYa99wWXYLcL+1Nqbx9o71DwD3N17e04VTRYVYDx57rN6U6u8vI7buvlt8IUBu7JdekoouNRW8qOEaXucP/IYEpLlQTAifciYLOZ9FnF034q1fP6lkU1PlWLNnw003iT9DDy66bsOhQ/L/vfVWU58YV6ZNrOTCoM85e/lvGGc31i3fTxL38yBvcwXeQQFce62Mklm/XvyBdu5seqzQUHnB7dwpXbQgVo+HHpIX04mM3muNykq5zueeg29XVTOidiszWEEKu4iggAgKCKeQGLIZQEaL3Zy7Gcp6JrKeiWxiHEeIpJhQ9jGYalpS8Ja+5BNBAT7e0G9gAFFDwolKDiEk1FBQUO8Tl5Mj3U2NHcG9qa7LXzL7iaCAI0RyhEjy6csRIikgAl+qiCaHWLLoz2ESSWMQqQwileHsbNBIaYzTR+cL5vE2V5BOfZ9beDiccYaIiHPOadlSePRovYA6elS6/ZwvycZceCHcd588ywkJLQdStFaE0MMPi5W1MRER0pXorIcCKOM8PuQn/K2B8/Iicw7bz/0F8x6cS/4Rwz//KeEiqqpEEMXESDc4iHC86Sa5VmOka3z3bvmPSkpEnDm3Bcn79dfDXXeJj5HSOvn50th+6616sR1DFt/lZW7nyQaWqEz681d+xj/5AYVEEB4uAx7uuqup03hNjdQ/n30mjSPXey8lRXolrr++ofjqKbRHOGGt7ZSETLZrgemNlj8KrG5hn0rg6kbLbgGyWzmPPxDmkgYAtrCw0PZUVqywdvhwa6VKs3bcOGtffdXaoiJZX1tr7SefWHvuudZ6eVnbnwx7Ksvsvd5/svtIrtvxEHH2Tv5qQyiyYG1QkLWJidb26VN/bLA2IMDa55+X4yodT02NtV98Ye2ppzYs98bJUGNns9T+kXtsBv3rVhQSal/mOns+71s/ym1AgLVz51p7113W3nKLtRMnNn88Hx+5P5y/Z8ywdt26jr22r76y9jvza+007zX2VzxkP+d0W0RI6xcKtgpvu9mMsa/63GB/6v03O4uvbCiFTTYNCJDk7d3mIeuSl5e1UVHWzpxp7R/+YO2CBda++661O3ZYm5Nj7e7d1q5da+369dauXGntv/9t7b33Wnv66dbGxFjr6+veeYxpuiyWTHsJ/7N38Yh9nh/axcyz+0m01Xg12fgrZtmbecYm+GQ0Oc7Uqdbef7+1S5ZYW1LS+n9QWGjtp59a+/vfW3vTTdZedJH8967Hi4y09p57rF2zxtqjR2W/9HRrf/ELa0Pa+LsCKbHn8759mHvse1xgCwmtW1mOn33Z93v2Hz/Zavftk3rqvPMa/l8BAQ3vybFjJTVXfq4pONjaCy+09h//sDY7u2Pv25OJ3Fxr33lH6ovZs60NDqi2E/nW3sPD9iAD6wq8mGD7FLfYYeys+w+mT7d26VJrq6qaP3ZBgbV//GPDd0pwsLX//GfPe58UFhZah2YJs23omx7fVdfMMXqsj1N1NfzhD/C73zlaCDHwt7/JFBBeXuLI99prMv/Soe2FXM0b3MS/mUrDQYpHieBP3M3fuYMqnyCSk8XBsHGclNGjxbn4u9/VVlxXYK10vbzyivipNTdizMdH7oNASvkJf+MWnmnQOjxGMMuYwwpmcJAEdpHCRsZT4+XHgAH1AUsbO7a7EhwssaPGjJGpHaZMkSHa7k7tsG6d+FNt/+wQZ1e9z608zUgamiqKCGUV09jABPLpSwERFBJOHv3IYABpJFJOUy9cLy/xXfHzE+tQcz4+PRFfKhnNVuawjAv4gDksa9Dtl0VM3YixjziXfPrVrfP2lhFP48dLl97cuTI4ICxM/svmrIhbt0qX1qZNYsEpazgGpNUwC4GUMph9TGENF/I+8/m8ScykDO949k2/Hnvrbaw/3J+nnqq3XLeH+HjpuouJEYvFwIFyTYMGiQVcpxvpeKqrxZdu1SpYu7yS8IWv8r2ixxlD/firjzmbv/ETFnMGtXhjjHTJ/fKXcPXVTf1ci4pkcMBzz9V3q15yCfzjH+2LBu9JukVXHdQ5h6+x1t7u+O0FHASesi07hwdZa893WbYC2Gx7uXP4zp3iU7Rihfy+/noRTQEB0i3zzjvwwfuWsQXL+D7/ajA0vgYv9pPMPgbzNlfwBldT6x9UJ7achIRIrKBrr5VKOLT1UapKJ1JSIlODPP98y35LPj4QHFjLVFZzzrG3udT+l4E0HRNeRgDrmMRKprOJcexlCHsZQj598fIybkXTNqY+uF9AgFSMffqI71RFhXT7ee/azoXlbzKWzYxmK0OoD+hzjGA+Zz6LOaNuRKZruIoTITRUXrADB8pnTEz9UHA/PxFb1tZPQ5GXJyPW1q8X3yB3o4l7eYkgGTdOukQTEuRlHh0tYnHtWnkpbN8uvjYJCfIymTpVvjtDFWzbJl3oOTn1yYmfn3RrDuAQV/IWV/EmE1nfIJp9DV58wyze4yIWcGmDLr3GGCPlExBQH3ixpkb+s8pWpmPzo4IBZDCADJI4wAQ2MJ6NDGN3s/fYARL53OtM9vqPZqPPZHaGT6W4xIuCAvfCOkRGyv8XFyeCfcIEGaGlEa49j7WwZbNl0V1fMnrxE5xd+2GdqC8jgC2MYSHn8wrXk0YS/v4ymvLMM+U5GTGiYfDPxx6TSdSrq+X/feUVmDfPgxfoJt1JOF0J/Af4P2ANEo7gCmC4tTbbGPMykGGtvdex/QxgGXAP8BFwFfArenE4gtpasSD9+tdS2YWGwl/+IiLnnXdkRFdYSSY38hLf48UGL6utjOJFvsdrXEsO0qnsrJidDB4s4QLmzRPLggY6637k5Eik9kWLJKhlenrzLyNDLePMFs7y/pyU6q0kcJBxbKIvR5o9biFh7GUI6cTTn8PEksUmxrGS6RwjhAr8OUIkefQjn74Uu8R7Mdg6q8NItjOarU3mIKzBi2+ZzKtcx3+4odlIxl5eck8GBtYHXI2IEHGzZYvc/wEBMiJ0xgzZ1tdXxJFTKJ3IY+za+ZOdLQFiw8PFcb66ut7fyctLzt8Zz8e+feKw/9VX8tvpS5idLWJs08pSojI3ciafciHvNynn7YxgOTPr5nGsxodqfDhKH44RQijFhFNIGEWEU1iXwijCYigggip88aOSwexjFNuaTJHUmKNEsIMRLOJsPuACNjMWd0IB+PrKfzZ8uFjGnJbN6OjO869TOpb0L/ey/ntPMvfAS01GCX/JXF7mu/yPy+riQ4WFybMza5b46I0fLw2Ma6+VKbq8vWWQyg9/6IGLaQfdRjgBGGNuoz4A5kbgDmvtase6pcABa+2NLttfDjxEfQDMu2wvDYCZlydTN3zsuLrRo+Wlsm5FBSm12xnDFq7gbc5mUV2LtIhQ3uQq/sX3WcMUwDB4sOy3caMo/oQECbd/1lkS+0UrrJ5FRYWIKKcT8PbtTbta6rEMZQ/TWck0VjGcnQxmX6sj1I6Xarz5iHP5nPnsIoW1nMIx7wj69pUhyaNHSxo71hGyob9Uqq73X3a2BOh0ioizzoJ//rNnxwFzh9paGTp+zz0SwNTLS0bFPvigWLmysuRls2MH7P48jciv3+fMkgWcytfHFQfJHcocE9ZmMIDNjGU9E9ntNYLdtWKtdAcvL7HKnXWWDE+fN+/kCFdyUlBTQ+6qfXzxhxXEfPYqs2u+qLsXSwnkHS7hP9zAF8xrYF2OjRUBdeaZMrL29ddl+S9/KQMQGo8e7S50K+HU1fQU4bRwoYibIw5jgRc1zGUp1/Ial7KgidL/mln8i+/zXy6nlGACA+Vlk5bWMELxVVeJuncGdVN6PtaKFWrTJvGRWrNG/ElyclqOFB9AGcnsZwh7iSedw/Qnj35MYQ3j2IQflQRSRiRH6Es+/cgjhGNYh1XBYsgmhtVMZRPjSPUZxvaImdRGxXDaadKanDChfcECN26UkX3p6WJRffxx6Z4+mYR9aqq8QN55R36Hh4u/2O23N32hWAubv8xn49PLqfhmDb75WYTXHMGbGnypog9HCeEYxYRSRJiLrak+eVFLH47iTQ1VjjABWxjDPgZzhEjaE1DSx0eCeU6ZIj5Xo0ZJN2Vwz5xpSWkn2z85yM77XmPUuv+QYusnJj7EAF7lOv7L5WxnZAPfxbAwaUw5XVDmzZOwKtGtT2XqEVQ4dSPhVFIirciNG6WbYMMG8YEoL4d4DjKbr5jDMs7jwwbm83wi2cpoVjCDl7iR3aTg7y/OocOHi3+Mc+qNsWPFgfyCC+rDFCi9n5qa+tgqqalitTh8WD6zstyb8sMZ4HToUHmJO7uzXJ3LBw6UEAezZsnn2LHti9dirTiJ3nmn3PfDhklLNCWl3Zfca1i2TCK8Ox1pJ0wQy9vEia3vV1Agzv8HD8qUHN9+K+K5sFDCXxw5InWOq1+Xc5ohaN3fy9tb/MaCg+vn0AsMlEbYjBlivVaRpGAt1SvXsve+/xC79A0iao/WrXLOofclp/EF81jK3Lpo5U7CwmSmgx/+UALDdhdUOHWxcCovlyB/+/ZJ2rhRRrXs3Qs1BUUMIIN40pnOSiawgb7kE096k6B7R+jDf7mc17iWb5hFRB8vJk2SKNBlZTIfnWsQzLlz4a9/lUpXUVyxVrqC9+yRlJsrL1VrxQ8lOVmEy/jxEg3dlZwceOop+OQTcbBuPB1ISIgI+KlTJUKzc57BxlGZrRWB8MgjEvMFpEvn9dfF1+lkp6YG/v1viZdz9KhYdB55RASVOwFLi4vh7bclhpuzRe9kwACJ4fS97zUMYFtaWh8h2okx4rwdEnJyWf+UDqCiAj76iNy/vIzf6q8IrznaZJNUktlPMpsYxwpmsIMRjrkKw/HzE584Z6T34cNlcEZiYtffiyqcOlE4nXeevFh8fKSyO3Soflh5CMWMZDunsJaprGYqqxnGnhaPVY0365jEMuawlLmsiziD4WP9OPNMaelt2CAtyp07652FvbzE2fKHP4Qf/9jzE4AqvRtnMMLly8XCsXKlDD1uDucchiEhIgr27q3vim6vKDiZyM6WaXMWLJDfY8aI9fjUU+Ul4jo9S16e+Id98IGEtHCd8DklRUaqXX65NKq6qy+J0kuxFnJzqV6+mvWPfUHI2i8YWbW5xc13M5QlnM63TGYzY0knnlyi6sIf+PvLYKm+fcUa7uMj6fXXO2c0pseFkzEmCbgPmIc4hWcCrwJ/sNa2OEjW4Sw+p9Hi590NReA4RqcKp0fNXUSRizc1BFNCP/LoRx5R5BJNbrP7HCWCbGJYz0RWMY1M4sglyq2Zq52MGSN+EFdeqVG9Fc9RUyPW1BUrRFCtXy9+di3FWwoMlAEQP/uZxgprDWtl4u6f/EQs2K4EBYmjfX6+dNW5kpIiVqXrrtOh/Uo3JC+Po6t28enTe6lavoZRxStJ4gCRNLVMgYzUzSGaLGI5TH9yiK6bJD2UYkIpxvfFf3DlTUHN7n8idAfhdBZwJfAGsBcYDbwAvGKt/UUr+y0FdgO/dVlc2tZFNDpGpwqnNJNIIs3MfOggk/5sYhyrmMZqprKGKRwlssl2UVFijoyJkYqyqkpa6t7e0ooMCRF/B+fM6j0xhL1y8lBYKE7fmZly/1oroTCGDu1es813d3JzZUSls5t09+6moSlGjRKL0jXXSJepdq8pPQVrxZ3l348XkLvgK4ZnL2McGxnJdmLIdmsE6UM/zuA3z3R8K8HjwqnZExnzS+DH1toW5/F2CKeN1to7T+A8nSqcbjHPEEoxNXhTRiB5RFHg049C334c9onnUEmfOgdMb28RPzfeKKPdKirkpRIbq06WiqK0TXm5CNKsLOmyGDhQLc5K7yIjQ/z83nm7mojq3Lp5IGPJIpocwinEj0qKCKOYUE799/e5+MbwDs9HdxVODwFnWWsnt7LNUmAUMkY2C1gI/N5aW9rKPv7IfHVOQoFDnSWcbr5ZrEPh4fKHf/VV0wlcR4yQYdbXX989h10qiqIoSneiulrep4sXS2zDxjMqBAdLd/SHH8qIz46m2wknY8wQYB3wC2vtC61s9yMgDfGJGgv8CZmy5ZJW9nkAuL/x8s4STomJMhTYFX9/GWE0f77M/TZqlJrPFUVRFOV42bpVRo2+/77MMuCUKkePdk6cwk4TTsaYR4C729hshLV2p8s+A5BpVJZaa3/g9slk33nAEmCItXZfC9s0a3FKT0/vFOH05z/LH1dbK0OqZ84UPySdykRRFEVROp7ycjFYpKWJgaIzKCoqIj4+HjpBOEVBm7H4U50j54wxccBSYBVwo7XWzek2684XDBxDuvg+dXOfAeAynbyiKIqiKIp7DLTWNp3p2oV2Rfqw1uZCC2PuG+EQMF8iXXQ3tVc0ORjv+Dzcjn0ygYFA8XGczx1CEWHWmedQWkbL37No+XsWLX/PoWXvWbqi/EMRDdEqnRIizSGaliL+Sr8AoozD6cdam+WyzRLgu9baNcaYwcA1wMdAPuLj9DjwlbW25ShajbBiQmtVLZ4Ipt55qbg9YRKUjkHL37No+XsWLX/PoWXvWbqo/N06bmfFlp0PDHGkxt1mzqv3BVIAZySrSuAM4E4gGEgHFgAPdVIeFUVRFEVR2kWnCCdr7UvAS21scwCXqbmttek0jRquKIqiKIrSbdBZo9pPBfCg41PperT8PYuWv2fR8vccWvaepduUf6+b5FdRFEVRFKWzUIuToiiKoiiKm6hwUhRFURRFcRMVToqiKIqiKG6iwklRFEVRFMVNVDi1E2PMrcaYA8aYcmPMamPMFE/nqbdhjHnAGGMbJdf5DwOMMU8bY/KNMceMMQuMMTGezHNPxhgz2xiz0BiT6SjrixqtN8aY3xljDhtjyowxi40xQxttE2mMec0YU2SMKTDG/MsYE9KlF9JDcaP8X2rmefik0TZa/seBMeZeY8xaY0yxMSbHGPOeMSal0TZt1jfGmARjzEfGmFLHcf5sjOmsOIm9BjfLf2kz9/9zjbbp0vJX4dQOjDFXAn9FhkROBDYBnxpjoj2asd7JNqC/S5rlsu5x4HzgciT2VxzwTldnsBcRjNzLt7aw/i7gDuBmYCpQgtz3rlNbvwaMQoLfngfMBv7RWRnuZbRV/gCf0PB5uLrRei3/42MO8DQwDSk7X+AzxzypTlqtb4wx3sBHgB8wA7gBuBH4Xednv8fjTvkDvEDD+/8u5wqPlL+1VpObCVgNPOXy2wuZ3uUeT+etNyXgAWBjC+vCkSjzl7ksGw5YYJqn897Tk6McL3L5bZC5In/R6D8oB65y/B7h2G+yyzZnAbVAnKevqSelxuXvWPYS8F4r+2j5d1z5RznKcrbjd5v1DXA2UAPEuGxzM1AI+Hn6mnpSalz+jmVLgSda2afLy18tTm5ijPEDJgGLncusTFy8GJjuqXz1YoY6ui5SHV0QCY7lk5BWiev/sBM4iP4PnUEyEEvD8i5EGhHO8p4OFFhrv3XZbzHy4p7aRfns7cx1dEHsMsY8a4zp67JOy7/jCHd8HnF8ulPfTAe2WGuzXY7zKRCGWAEV92lc/k6uNcbkGWO2GmP+aIwJclnX5eWvfbDu0w/wBrIbLc9GWiBKx7EaMbXuQsyy9wNfG2NGIy/xSmttQaN9sh3rlI7FWabN3fexLtvkuK601lYbY46g/0lH8AnSNbQfGAw8DCwyxky31tag5d8hGGO8gCeA5dbarY7F7tQ3sTT/fICWv9u0UP4ArwNpQCYwFvgTMs/tJY71XV7+KpyUboe1dpHLz83GmNXIg3MFUOaZXCmKZ7DWvunyc4sxZjOwD5gLLPFIpnonTwOjaehPqXQdzZa/tdbVV2+LMeYwsMQYM9hau68rM+hEu+rcJw9HP2qj5TFAVtdn5+TB0drbDQxBytrPGBPRaDP9HzoHZ5m2dt9nAQ0GSDhGtESi/0mHY61NReqjIY5FWv4niDHmKcSp/jRr7SGXVe7UN1k0/3yAlr9btFL+zbHa8el6/3dp+atwchNrbSWwDjjducxhWjwdWOmpfJ0MOIZVD0aclNcBVTT8H1KABPR/6Az2I5WPa3mHIb4zzvJeCUQYYya57DcPqV9Wo3QoxpiBQF/keQAt/+PGEWrjKeBiYJ61dn+jTdypb1YCYxqNrp4PFAHbOyvvvQE3yr85xjs+Xe//ri1/T3vR96QEXImMJroBGcnyPHAUF29+TR1Szo8hw1STkOGlnwO5QJRj/bNI191piPPmCmCFp/PdUxMQglRG45ERLT91fE9wrL/bcZ9fAIwB3gNSgQCXYywC1gNTgJmIhfB1T19bT0itlb9j3Z+R4dpJyAt8naN8/bX8T7jsnwEKHPVNrEsKdNmm1foG8X3dgjgkjwPORHzOHvb09XX31Fb5Iw3m+xzlnuSog/YByzxZ/h4vuJ6WgNscD1EF0pqb6uk89bYEvIk4AlYAhxy/B7usD0D6w48gMYXeAWI9ne+emhBfGdtMesmx3iAxUbKQhsNiYFijY0QiTpzFyDDgF4EQT19bT0itlT8Q6Hgh5CDD4g8g8ZliGh1Dy//4yr65crfAjS7btFnfAInAx0Ap0sh7DPDx9PV199RW+QPxwDIg31H37AEeBcI8Wf7GcVJFURRFURSlDdTHSVEURVEUxU1UOCmKoiiKoriJCidFURRFURQ3UeGkKIqiKIriJiqcFEVRFEVR3ESFk6IoiqIoipuocFIURVEURXETFU6KoiiKoihuosJJURRFURTFTVQ4KYqiKIqiuIkKJ0VRFEVRFDdR4aQoiqIoiuImKpwURVEURVHcRIWToiiKoiiKm6hwUhRFURRFcRMVToqiKIqiKG6iwklRFEVRFMVNVDgpiqIoiqK4SacKJ2PMvcaYtcaYYmNMjjHmPWNMShv73GiMsY1SeWfmU1EURVEUxR062+I0B3gamAbMB3yBz4wxwW3sVwT0d0mJnZlJRVEURVEUd/DpzINba89y/W2MuRHIASYBX7W+q806nnMaYwwQBxQfz/6KoiiKopyUhAKZ1lrb2kadKpyaIdzxeaSN7UKMMWmIRWw98Ctr7bbmNjTG+AP+Lov6AztPNKOKoiiKopx0DAQyWtvAtCGsOgxjjBfwARBhrZ3VynbTgaHAZkRo/QKYDYyy1h5qZvsHgPsbL09PTycsLKxjMq8oSs+isBBefRVeegn27IHm6rmoKBg3Dnx8ICQEbr4ZTjmly7OqKIrnKSoqIj4+HiDcWlvU2rZdKZyeBc4GZjUngFrZzxfYAbxhrb2vmfWNLU6hwKHCwkIVTopyMlBTA889B2vXgq8v7NoFq1dDZWX9Nr6+EB8PsbGQnQ0HDsh+jbnwQhg9WradPBnGjpV9FUXp1RQVFREeHg5uCKcu6aozxjwFnAfMbo9oArDWVhljNgBDWlhfAVS4nOtEsqooSk/BWjh4EH74Q/j886brR4yAO++E884TweTlMhamvBw2bIBtDg+A5cvhP/+B99+X5CQyEn72M7j6ajAGqqtFcCUlQUBAZ16doijdlE61ODkctZ8ELgbmWmv3HMcxvIFtwMfW2p+5sX0YUKgWJ0XpgdTWikWoulq60Ly9Jfn4wNGj8MUXsHIlbN8OO3bIMoCgIBFJAQEQFwdz5sDgwSJ23GXjRli4UM6/Z49YsJzHb0xUFP/f3pnHVXWc//8z7PuioqIiqOC+gtGg3waNGhMTt1iNS6Imta2tSzSb2hqXpKkxaRrT6C9NYwpqmphFJUSD2hhxIYhyjYAWEQmLIoooioiy3ef3x8O93AsXuChwAZ/363VecM7MOWfOc+fMPOeZZ57BsmXAiBFc5j59uAyCIDRL6mJxamjF6f8BmAlgIoBkg6SbRHSnPM9WAFlEtKJ8fxWAYwDOA/AA8CqASQCCiOh/ZtxTFCdBaE5cugRs3w589RWQmAgUFpp/rlLAkCHAp5+y8lKflJVxmd5+Gzh7lofsrK35+O3bxnnd3YHnngN+/WsgOBiws6vfsgiC0KA0JcWpuos/T0Rh5XmiAKQT0dzy/fcBPA2gPYA8ABoAK4noZzPvKYqTIDRVioqAb74Bjh8HUlOBhATgwgXjPFZWFQqKVltx3NqalaQRI9j3qFcvoHt3wNGxUR8BpaXAtm3Ahg3A9es87JebW5Hu5AT4+3PZli1jXylBEJo0TUZxsgSiOAlCE6GkhC016elARgaQlsaWpUuXquZ9+GFg9mxg1CigS5cKh2wiVqDKylihaoqO2lot8MMPwNatwP79wNWrFWlWVjyEOGYM0Ls30LmzxYopCEL1iOIkipMgWAatln2FvvoKCA0FcnKq5vH2Zmfr7t3ZajRwINBS3lWtlv2jfvmFrVJffGGcHhQEzJwJPPMM0LGjZcooCEIVRHESxUkQGgciHnI7cICtLj/+yMNXOtzc2Enbzw/w9WXFYepUwN6+2ku2KL77jv2vzp9n65suBIJSwCOPsAI5diw7tItfVMtHq+UJBx4ePPQsNBlEcRLF6cGGCMjK4iEi3eyoxEQeIrp9m2P09O/P/ifdu1u6tM2L/HwgLg7QaPjvsWMcEsAQV1fg0UeBOXM4FEBTHF6zBDk57N/1xRfA0aNV0/38WLH8v/9jZapnz7rNChQajpIS9s+7fJnrfEwM/83KqvDJq26zsmK/uMJC4OJFji9mYwN06sQfE+7uPIxdWMi//aBBnMfJiWOKdexoXA/atweca1vuVagrTUpxUkotAM+Maw8gHsAiIjpeQ/6pAN4E4AcgBcAyIvq+DvcTxakxKSjgr+kLF9hBtriYO04Xl4q/Li7c8BQUcENia8sd8LVrfM6NG9woabXs6OvkxJuzM/+1seGGx84OaNOGlZ+0NM7buTP7z2g0rBhlZwPx8cZWj+qwtgamTweGDeNGTKvlSNJdujS42JodRMCHH7KyefeucZqtLc8kGz2at8GDRVmqjcxM4Msv2efr9GnjYJ06fHyAxx7jbfRojiklNA5aLbdphw8Dn3wCHDli6RJVoBTQtSvQrx9vXl7cxvr7876Hh6VL2CxpMoqTUuoZAFsBzAcQC2AJgKkAehBRFecHpdQw8OK/KwDsBocyWAYgkIhOm3lPUZzuhdJSttCcO8fb+fOs3OTn81BMZibn0Wqrbk0RGxvueHRf8YGBrGQ5OvKzfPopsHt31fNsbYGVK4Hly2XohIgtIzExPAynCzLZuTPPbhs8mGUbHCxfwPcDETuUnz7N1tEDB7jDLioyzufhwZ1k//7A0KHAvHmAp6dFitzsSE5mi5+/P1tslOIPtthYtvRotSzzgwf5gy4vD7hzp+p17Oy4LXn4Ya733bsbT2Aw3LTaiv9tbXl4ulMnHpbNyeEPvowMLoefH3/I/fgj+8c5OvLxxEQujw6ttmoojMr4+LDvoKsr14+RI1n5btOm/uTZAmlKilMsgBNEtLB83wrABQAfEtHbJvJ/CcCZiJ4yOHYMwCkimm/mPUVxMgcifmkPHWI/jL17a38hq6NNG37xvby4gSgo4O3WrYq/dnb8VaTV8te1mxvQujVvnp4cuNDKiq0Zt29zY6bbiov5urpp346ObBW6c4eVPW9v7si7duUy9O7NJu7a/GiOHgUiI9mZOTeXr5eYyGk9ewLr1vESHA/icMmxY8Cf/sQdiQ47O+BvfwMWLnwwZdKYFBaylWPfPt7+ZyKEXdu2/HtMm/bg+IyZy9Wr/H4nJXH7duxYRZqNDVvvrl41vYahDltbbgemTgWefRZo147lbGnfpKtXuZ1KTOR6ceMGr82YlFR12NwQXds4fDgrU7/6ldQbA5qE4qSUsgNQCODXRBRucHwLeKHfiSbOyQTwdyLaYHBsLYBJRDSgmvvIWnXmUFTEjcfevRxD58wZjpBsiKMjEBDAX1EBAdy4ODuzUqRbYsLKynhzcuIx+pYAEQ+fLFpUEZdn7FieZt62rWXL1hjcvs1DRx99xEOfACtLuvXbpkyp/yCTgnlcv85WikuXgJMngX//mztKgN/RRx7hTnHoUP6dDJeXeRAoKuJlc86eZYtdRARbyHXY2LCv0IULxlZyf39+t0tL2ZL3+OP8AebmxpbV5jbkfOMGWy7Pn2flOz2dPw5PmxiwcXVlBUpnOXNzY0vVAzrbs6koTh0AZAEYRkQxBsffARBCRENNnFMMYA4RfWFw7I8AVhNRu2ruswbA6srHH0jFSWcxOXmSt19+Yd+i3FwefjNsSABuTIKC2H9i8mR2SnzQGlxT3LwJvPMO8Pe/s5WrQwfenzy55S2rkZvLX+SHDgHh4fzsACtMs2YBq1ezA6vQtCguZmvThx+yw7IhISHAxo3cCVraOtLQlJZy6Is//5mVBEP69mWfxaAgnr3Yvj3LLSeH6327dmytfhC4dYsnyvz8c4Uls3K90dGzJ4cI6dKFP5i7dmUrVWMHmm1kHjTF6cG1OOXl8dfE/v1sIUhKMr3iu442bdiCMnIkOxH26SO+KTVx5gyb6XVf9i4u/HU2eDArFc3Z+qLVAps3s7P3jRsVx7t1A+bPB+bOFZ+I5gART4aIieH6GhpasWSNnR3X0VGjOG5US4lgnp/PHX9EBPD99xUTQby82OLWty/HyurXz7LlbMpotdxnHDnCIxGXLrEck5NN+626u7NMhw5lK53OUteChuybiuLUKEN1Jq7RMn2cUlNZSTp3jn2Tzpxhi1Ll38/Li50XAwP5i9PRkTv8Pn3YMbEFVfRGoaAAeO89YMsWnslnyJgx7FvVrRt/lfXsyV+xTZWiIg4h8P33wOefV3yh9+7Nw3FjxrC1QqyOzZdffmEftB9+YGuzIXPnst9e+/YWKdp9c/Mm8Ne/Ah98YOw437o18NJLHKG9pVmEG5u8PFamUlK4vUtPZ8X84sWqeVu14jr1+9+zItXM240moTgBeufw40S0qHzfCkAmgI01OIc7EdF4g2M/AUh4YJzDiYAdO3i2R0kJO/vFx3ODaIo+fThWzvDhrCx16CDKUUNAxGbuEyfYT+zbb007lg4YwDNulOKGJTiYfSe8vOrf1K0L72B43aIiXv+toICtj1lZ3AgePcp1yjCUgJsbsHYtd7Q2NvVbNsGylJWxP09MDNfVL7/k4w4OHF9r3Dj+kNJ9XDVF0tLYNyc9nf2X9u/njh1gH8yJE4Hx4zmciNTfhkO3pFB4OLcl58/zx7th++foyMpTQADw0EPA88837Y9IEzQlxekZAFsA/B7AcXA4gmkAehLRFaXUVgBZRLSiPP8wAIcALAewB8B0AH/CgxCOQKsFfvoJWLHCdHA8a2t2AB06lKeb9uxZEcNDaHxSU7khOX+e///lF9MWQEOcnfn3srfnfLq8Pj7c6BQW8rCZg0NFHCwrK45NlZXF5vSbN9lhtbCQ/RYAduZs1Yqvl5JSdRq7IW3bslXp17/mTqepdppC/RIbyxYZw9llANelgQNZ2R88mOuooyO3NS4uDV8uIva1ycysmI174wYrepGRVfP36MEW4HHj5APRkhQVsRP+Bx9wCIXK/rO6SSWPPcYf9s3AytlkFCcAUEotREUAzFMAFhNRbHlaFIB0IpprkH8qgL+gIgDmay06AGZuLvD+++ybkJ3Nx5yc+KvQw4M7un792MFRAps1bXJz2Rp17hwrupmZ/KWclmY6wGFD0aZNhf+Btzc7eA4Zwp1h9+7S4Tyo6OJy/fOfXEfT0ytmj1bG0ZGjvzs5VSj5hhvAilXHjmzl7tiRN29vTs/Pr1jcOS+PFf6bN9ni2aYNvx+JiWxNN7WeIcD1dNAgnt02cCD7Zop1qelRUsK/c0oKz2rcvp1nbutwdARee42HU5twn9ykFKfGpskrTkVFbEJPSGDnxm++qYif5ObGM7feeENWUW9JELF1KCeHY7CUlHCnoBQPqaSlsbVKF7CuqKji67ukhDsjXefk7s5fdw4OvF9cXBGslIhnwAUEiHIk1I4ulptuCZHERK5bWVnVuwY0BFZWPGzo5lax0kDfvsCCBWyJFZofJ05wgOHvvmMXB4AV3oceAp58ki3ePXpYtoyVEMWpKSpOycnAX/7C2nhls2ZgIAcbfOopCUgmCIJlIeIZV7Gx/L9OyQeM/8/PrxhC1v3NzmZrkosLD0F36cIWJjc3Vvrt7dnKdfcu+2cOHMh/xam7ZaLz2X39dbZGGfL44zza0rOnZcpWCVGcLK04FReztn32LFsTdFOFdTg68iysMWN4HDgkRCwEgiAIQsslPZ2dzHfs4L+lpaxk9+jB/eHYsRy81UKxtURxamzFiYjH7xMTeSrnRx+Znr45YQJr3kFBoigJgiAIDyYpKcDLL/NQniFK8QzxKVN4SZj+/RstersoTg2pOG3cyH4BhubprKyKoHM6vL15RkHnzjwUN3y4zIATBEEQBB1paeyjGR8P7NzJozOG2Nqy/1tAAId2CQ5mhaoBhnZFcWpIxcnHx7Q1CWBn3YceYl+lZ58VfyVBEARBMJcLF3gob98+nrRguKqBjtOnG2TVBlGcgJsXLlxoGMXpzTd5TThvb45N4e1d8b8sXyIIgiAI949WyyM6Fy6wj/Dx47z81aFDDRKlPD8/Hz4+PsADqjh1BFCNSUgQBEEQBKFaOhFRVk0ZWqLipAB0AHCrgW7hClbMOjXgPYTqEflbFpG/ZRH5Ww6RvWVpDPm7ArhEtShGLS4Ea/kD16gt3g+qYjbcrdrMeUL9I/K3LCJ/yyLytxwie8vSSPI367rNezljQRAEQRCERkQUJ0EQBEEQBDMRxanuFAFYW/5XaHxE/pZF5G9ZRP6WQ2RvWZqM/Fucc7ggCIIgCEJDIRYnQRAEQRAEMxHFSRAEQRAEwUxEcRIEQRAEQTATUZwEQRAEQRDMRBSnOqKUWqCUSldK3VVKxSqlhli6TC0NpdQapRRV2s4apDsopTYppa4ppQqUUjuUUu0sWebmjFLqEaXUd0qpS+WynlQpXSml3lBKZSul7iilflBKBVTK00op9R+lVL5S6oZS6lOllEujPkgzxQz5h5l4H/ZWyiPyvweUUiuUUieUUreUUjlKqXClVI9KeWptb5RSnZVSe5RSheXXeVcp1eICTNc3Zso/ykT9/2elPI0qf1Gc6oBS6hkAfwdPiQwEEA9gn1KqrUUL1jI5A8DbYPs/g7T3AYwHMBVACHiJnZ2NXcAWhDO4Li+oJv01AIsBzAcwFMBtcL13MMjzHwB9AIwB8BSARwD8q6EK3MKoTf4AsBfG78OMSuki/3sjBMAmAA+DZWcLYL9SynDF9hrbG6WUNYA9AOwADAMwB8BcAG80fPGbPebIHwA+gXH9f02XYBH5E5FsZm4AYgFsNNi3Ai/vstzSZWtJG4A1AE5Vk+YOoBjArw2O9QRAAB62dNmb+1Yux0kG+wpANoBXKv0GdwFML9/vVX7eYIM8jwPQAuhg6WdqTltl+ZcfCwMQXsM5Iv/6k79XuSwfKd+vtb0B8ASAMgDtDPLMB3ATgJ2ln6k5bZXlX34sCsCGGs5pdPmLxclMlFJ2AIIA/KA7RkTa8v1gS5WrBRNQPnTxS/kQROfy40HgrxLD3+EsgEzI79AQdAHQHsbyvgn+iNDJOxjADSKKMzjvB3DHPbSRytnSGVE+BJGslPpIKdXaIE3kX3+4l/+9Xv7XnPYmGEAiEV0xuM4+AG5gK6BgPpXlr2OWUipXKXVaKbVOKeVkkNbo8pcxWPNpA8AawJVKx6+Av0CE+iMWbGpNBptlVwM4opTqC+7Ei4noRqVzrpSnCfWLTqam6n17gzw5holEVKqUug75TeqDveChoTQA3QD8FUCkUiqYiMog8q8XlFJWADYAiCai0+WHzWlv2sP0+wGI/M2mGvkDwOcAMgBcAtAfwHoAPQA8XZ7e6PIXxUlochBRpMFuglIqFvziTANwxzKlEgTLQETbDXYTlVIJAFIBjABwwCKFaplsAtAXxv6UQuNhUv5EZOirl6iUygZwQCnVjYhSG7OAOkRxMp9clI+jVjreDsDle7mgRqOxB2vO8jvUQFxcHH7zm99c9PT0HN61a9fY6Ohou23btj3Su3fvAl2evn37+nTq1Mlao9EEWrKszZ0ePXogMDCwq06Ob775ZuvPPvsMTz31VIhGozmnyzdo0KBuLi4uyRqNJnDixIl2KSkp3oayv3XrlnXPnj1bDRw40El+E/OpLH9TxMXFYfbs2Te6du06UqPR5In8758lS5Ys69OnT8jMmTPnjR07tq1Go2kLAC+88IJrbe3NyJEjce3aNT9DOb/11lsdtm7diieffNJD5I8yABlBQUE3qsuglNqI8kkNRHSxluvFlv/1B39AXAZQeXa7rp++p765NmStujpQbvk4TkSLyvetwGPdG4no7bpcS6PRdAOQAMCptryCIAiC0Mz5BMD8oKAgre6AUkoB+BDAZAAjiCiltosopYYDOApgABElKKWeALAbgDcR5ZTn+R2AdwG0JaJ6XxRYLB114+8Atiil4gAcB7AEPJU4tC4X0Wg0VgDCbG1t7bp27QorK/HRFwRBEFoeWq0WBQUFyMrK+m35od8ZJG8CMBPARAC3lFI6n6SbRHRHKdWtPP17ANfAPk7vAzhMRAnlefcD+B+AbUqp18B+TX8BsKkhlCZALE51Rim1EMCr4B/nFIDFRBRb40mV0Gg0HQFc7NKlC1q1alX/hRQEQRCEJsTly5eRlZWFzZs3j/voo48iAUApVZ0C8jwRhSmlfAB8BvZ9cgZwAcAuAH8honxdZqWUL4CPwH5/twFsAYcJKm2IZxGLUx0hoo0ANt7nZbwAwN7e/v4LJAiCIAhNHBcXDmRvZ2c3f8KECbcjIiIOE5Gq6RwiugAOklkjRJQBYFy9FNQMZIzIMlgBAA/vCoIgCELLRueSUr4UyoQJEyY02w5QFCdBEARBEBoFa2vrWwBcATTbtRRlqK4pkZkJ5OY23v3atAE6d649Xx1RSmHXrl2YNGlSvV9baDq0kOp6T4wYMQIDBw7Ehg0bGu2eYWFhWLJkCW7cuNHg90pPT0eXLl3w888/Y+DAgfd8HUvIyRKsWbMG4eHhOHXqVKPdMyoqCiNHjkReXh48PDwa7b71AIGXcmq2FidRnJoKmZlAjx7A3buNd08HByA5uU690eXLl/HWW29hz549yMrKQtu2bTFw4EAsWbIEo0aNqvciNuPGQU9LeIbKNIfqevXqVaxatQp79uzBlStX4OnpiQEDBmDVqlUYPnz4fZVl586dsLW1va9r1ISfnx+WLFmCJUuW1Pu1H8QPm/pUOluq/Cyh/DVXRHFqKuTmNm4vBPD9cnPN7onS09MxfPhweHh44N1330W/fv1QUlKCffv2YcGCBTh79mwDF/jeISKUlZXBxqb5Vvmm9AzNoLpiypQpKC4uxpYtW9C1a1dcuXIFBw4cwLVr1+65DMXFxbCzs5PZsIJQDbp3pCUjPk6C2fzxj3+EUgrHjx/HlClT0L17d/Tp0wcvvfQSjh07ZvKcqKgoKKWMvvROnToFpRTS09MBABkZGRg/fjw8PT3h7OyMPn364Pvvv0d6ejpGjhwJAPD09IRSCnPnzgXAsUHWrVuHLl26wNHREQMGDMA333xT5b6RkZEICgqCvb09jh49arKMFy9exIwZM9CqVSs4Oztj8ODBiI2tiDDx7bffIjAwEA4ODujatSvWrl2L0tKKWa5KKWzevBmTJ0+Gk5MTAgICEBERAQAN8gzx8fEYOXIkXF1d4ebmhqCgIMTFGa7vKty4cQNHjhzB+vXrMXLkSPj6+mLIkCFYsWIFJkyYYJRv3rx58PLygpubGx599FHEx8fr09esWYOBAwdi8+bN6NKlCxwcHADwEJShNaioqAivvPIKOnbsCGdnZwwdOhRRUVH69OrquClGjBiBjIwMLF26FEqpKpNI9u3bh169esHFxQWPP/44srOz9WknTpzAmDFj0KZNG7i7uyMkJAQnT57Up/v5+QEAJk+eDKWUfr86zp49i2HDhsHBwQF9+/bFoUOHjNJPnz6NJ554Ai4uLmjXrh2ee+455NYwfpuXl4fZs2fD09MTTk5OeOKJJ5CSUhHzMCwsDB4eHjU+Y2lpKRYvXgwPDw+0bt0ay5Ytw5w5c6q1AEVFReH555/HzZs39fJcs2aNWeWpTG3y27ZtG/z8/ODu7o7p06fj1q1b+rTa3ndTFBUVYdmyZfDx8YG9vT38/f3x6aefmsyrq6uGbNiwwaiMUVFRGDJkCJydneHh4YHhw4cjIyMDYWFhWLt2LeLj4/UyCgsLA3Dv70hLRhQnwSyuX7+OvXv3YsGCBXB2dq6Sfj9DUAsWLEBRUREOHz6MxMRErF+/Hi4uLvDx8cGOHTsAAMnJycjOzsYHH3wAAFi3bh22bt2Kf/7znzhz5gyWLl2KZ599tkrDvnz5crz99ttISkpC//79q9y7oKAAISEhyMrKQkREBOLj4/Haa69Bq+XgtkeOHMHs2bPx4osv4n//+x8+/vhjhIWF4a233jK6ztq1azFt2jQkJCRg3LhxmDVrFq5fv94gzzBr1ix06tQJJ06cgEajwfLlyxt02Kg54uLiAhcXF4SHh6OoqPoYeFOnTkVOTg4iIyOh0WgQGBiIUaNG4fr1isXZz58/jx07dmDnzp3VDmMsXLgQMTEx2L59OxISEjB16lQ8/vjj+k64ujpuip07d6JTp0544403kJ2dbaQ0FBYW4m9/+xu2bduGw4cPIzMzE6+88oo+/datW5gzZw6OHj2KY8eOISAgAOPGjdN34CdOnAAAhIaGIjs7W79fHa+++ipefvll/PzzzwgODsb48eP1FrsbN27g0UcfxaBBgxAXF4e9e/fiypUrmDZtWrXXmzt3LuLi4hAREYGYmBgQEcaNG4eSkhKzn3H9+vX4z3/+g9DQUERHRyM/Px/h4eHV3nPYsGHYsGED3Nzc9PLUXc+c8hhSk/xSU1MRHh6O3bt3Y/fu3Th06BDefrtiQQlz33dDZs+ejS+++AL/+Mc/kJSUhI8//rjaelMbpaWlmDRpEkJCQpCQkICYmBj87ne/g1IKzzzzDF5++WX06dNHL6NnnnkGQP29Iy0KIpKtkbe4uLjAuLg4un37NunRaIiAxt80GjKH2NhYAkA7d+6sNS8A2rVrFxERHTx4kABQXl6ePv3nn38mAJSWlkZERP369aM1a9aYvJap8+/evUtOTk70008/GeX9zW9+QzNmzDA6Lzw8vMayfvzxx+Tq6krXrl0zmT5q1Cj661//anRs27Zt5O3tbfS8K1eu1O8XFBQQAIqMjGyQZ3B1daWwsLAan6uhaeLVlYiIvvnmG/L09CQHBwcaNmwYrVixguLj4/XpR44cITc3N7p7967Red26daOPP/6YiIhWr15Ntra2lJOTY5QnJCSEXnzxRSIiysjIIGtra8rKyjLKM2rUKFqxYgUR1VzHTeHr60vvv/++0bHQ0FACQOfPn9cf27RpE7Vr167a65SVlZGrqyt99913+mOG72d1pKWlEQB6++239cdKSkqoU6dOtH79eiIievPNN+mxxx4zOu/ChQsEgJKTk4nIWE7nzp0jABQdHa3Pn5ubS46OjvTVV1+Z/Yzt2rWjd999V79fWlpKnTt3pokTJ1b7PKGhoeTu7m50zJzymMKU/FavXk1OTk6Un5+vP/bqq6/S0KFDici8970yycnJBID++9//mkyv3K6sXr2aBgwYYJTn/fffJ19fXyIiunbtGgGgqKgok9czdf79vCOVuX37NsXFxdFLL730xfjx4/81fvx4N2oC/fG9bJZ3lhCaBUQNF2F+8eLF+MMf/oD9+/dj9OjRmDJliknrkI7z58+jsLAQY8aMMTpeXFyMQYMGGR0bPHhwjfc+deoUBg0aVK3PSnx8PKKjo40sTGVlZbh79y4KCwvh5MRLDRqW19nZGW5ubsjJyWmQZ3jppZcwb948bNu2DaNHj8bUqVPRrVu3Gp/zQWTKlCl48sknceTIERw7dgyRkZF45513sHnzZsydOxfx8fEoKChA69atjc67c+cOUlMrFl339fWFl5dXtfdJTExEWVkZunfvbnS8qKhIf+261vHqcHJyMvqtvb29jerZlStXsHLlSkRFRSEnJwdlZWUoLCxEZmZmne8FAMHBwfr/bWxsMHjwYCQlJQHgd+PgwYMmLSCpqalV5JGUlAQbGxsMHTpUf6x169bo0aOH/pq1PePNmzdx5coVDBlSsaartbU1goKC9FZiczG3PObi5+cHV1dXk+Wuy/uu49SpU7C2tkZISK3xH82iVatWmDt3LsaOHYsxY8Zg9OjRmDZtGry9vas9p77ekZaGKE6CWQQEBEApVWcHcF3QM0PFq7IZfN68eRg7diz27NmD/fv3Y926dXjvvfewaNEik9csKOBFyvfs2YOOHTsapVWOxm5qWNEQR0fHGtMLCgqwdu1aPP3001XSDMfyKw+VKaVqbMjv5xnWrFmDmTNnYs+ePYiMjMTq1auxfft2TJ48ucZneRBxcHDAmDFjMGbMGLz++uuYN28eVq9ejblz56KgoADe3t5Gvkg6DIeea6tDBQUFsLa2hkajgbW1tVGaTqmoax2vDlP1zPDdmjNnDq5du4YPPvgAvr6+sLe3R3BwMIqLi+t0H3MoKCjA+PHjsX79+ippNXXGtVHbMzZVamoD6vK+66itbaqMlZVVFTlVbmtDQ0OxePFi7N27F19++SVWrlyJ//73v3j44YdNXrO+3pGWhvg4CWbRqlUrjB07Fps2bcLt27erpFc3zVf3FWLop2FqDNzHxwfz58/Hzp078fLLL+OTTz4BAP3sjLKyMn3e3r17w97eHpmZmfD39zfafHx86vRc/fv3x6lTp4zG6w0JDAxEcnJylfv4+/ubvThzQzxD9+7dsXTpUuzfvx9PP/00QkPrtM70A0vv3r319TcwMBCXL1+GjY1Nld+gTZs2Zl9z0KBBKCsrQ05OTpXrtG/fXp+vujpuCjs7O6P6Yi7R0dFYvHgxxo0bhz59+sDe3r6Ks7atra3Z1zac9FFaWgqNRoNevXoBYPmdOXMGfn5+VZ7bVEfaq1cvlJaWGk28uHbtGpKTk9G7d2+zyuPu7o527doZ+RaVlZUZOcCbwpQ877U8dZGfjnt53/v16wetVlujD5QhXl5euHz5spHyZKqtHTRoEFasWIGffvoJffv2xeeffw7AtIzq6x1paYjiJJjNpk2bUFZWhiFDhmDHjh1ISUlBUlIS/vGPfxiZ9A3RNQxr1qxBSkoK9uzZg/fee88oz5IlS7Bv3z6kpaXh5MmTOHjwoL5x9vX1hVIKu3fvxtWrV1FQUABXV1e88sorWLp0KbZs2YLU1FScPHkSH374IbZs2VKnZ5oxYwbat2+PSZMmITo6Gr/88gt27NiBmJgYAMCqVauwdetWrF27FmfOnEFSUhK2b9+OlStXmn2P+nyGO3fuYOHChYiKikJGRgaio6Nx4sQJvbwE5tq1a3j00Ufx2WefISEhAWlpafj666/xzjvvYOLEiQCA0aNHIzg4GJMmTcL+/fuRnp6On376CX/+85/rNEuxe/fumDVrFmbPno2dO3ciLS0Nx48fx7p167Bnzx4ANddxU/j5+eHw4cPIysqqcZZaZQICArBt2zYkJSUhNjYWs2bNqmK58PPzw4EDB3D58mXk5eXVeL1NmzZh165dOHv2LBYsWIC8vDy88MILANjh/fr165gxYwZOnDiB1NRU7Nu3D88//7xJxSIgIAATJ07Eb3/7W/3s0GeffRYdO3bU/ybmsGjRIqxbtw7ffvstkpOT8eKLLyIvL6/GJaz8/PxQUFCAAwcOIDc3F4WFhfdcnrrIT8e9vO9+fn6YM2cOXnjhBYSHhyMtLQ1RUVH46quvTOYfMWIErl69infeeQepqanYtGkTIiMj9elpaWlYsWIFYmJikJGRgf379yMlJUVfD/38/JCWloZTp04hNzcXRUVF9faOtDgs7WT1IG4mncMzMogcHKhRPW0dHPi+deDSpUu0YMEC8vX1JTs7O+rYsSNNmDCBDh48qM+DSs6TR48epX79+pGDgwP96le/oq+//trIOXzhwoXUrVs3sre3Jy8vL3ruuecoNzdXf/4bb7xB7du3J6UUzZkzh4iItFotbdiwgXr06EG2trbk5eVFY8eOpUOHDhGRaYfs6khPT6cpU6aQm5sbOTk50eDBgyk2NlafvnfvXho2bBg5OjqSm5sbDRkyhP71r39V+7xERO7u7hQaGlrvz1BUVETTp08nHx8fsrOzow4dOtDChQvpzp07tT5nfdLUq+vdu3dp+fLlFBgYSO7u7uTk5EQ9evSglStXUmFhoT5ffn4+LVq0iDp06EC2trbk4+NDs2bNoszMTCIy7TBLZOz0TERUXFxMq1atIj8/P7K1tSVvb2+aPHkyJSQkEFHtdbwyMTEx1L9/f7K3tydupk07OO/atUufTkR08uRJGjx4MDk4OFBAQAB9/fXXVRzNIyIiyN/fn2xsbPSOw5XROYd//vnnNGTIELKzs6PevXvTjz/+aJTv3LlzNHnyZPLw8CBHR0fq2bMnLVmyhLRarUk5Xb9+nZ577jlyd3cnR0dHGjt2LJ07d06fbs4zlpSU0MKFC8nNzY08PT1p2bJlNHXqVJo+fXq18iQimj9/PrVu3ZoA0OrVq80qjylMya82x2yi2t93U9y5c4eWLl1K3t7eZGdnR/7+/vTvf/+biEy3Dx999BH5+PiQs7MzzZ49m9566y19GS5fvkyTJk3SX8vX15dWrVpFZWVlRMTvzJQpU8jDw4MA6Nuve31HKtOSnMMVUdMfO25paDSaQACaXr166Z2LATzYa1gIzQ6prkJTQKvVolevXpg2bRrefPNNSxdHqIbCwkIkJSXh888/356SknILwCsRERH5li7XvSDO4U2Jzp2lZxCaDVJdBUugG2YKCQlBUVERNm7ciLS0NMycOdPSRRMeEMTHSRAEQWg2WFlZISwsDA899BCGDx+OxMRE/PDDD+LnJzQaYnESBEEQmg0+Pj6Ijo62dDGEBxixOAmCIAiCIJiJKE6WQQs0bDRuQRAEQWgq6IKBarXaZt/xieJkGa4CqHHxUUEQBEFoKeiip+fk5DTLmXSGiI+TZcgGcPTixYvBdnZ21uZGoBYEQRCE5oRWq0VBQQGysrKQnp5+8tatW8UAHGo9sQkjipMFCAoK0mo0mjnFxcWnk5OT67YgkSAIgiA0M9LT009u3bp1N4B2AEoA3LVwke4ZCYBpQV5//fVWt2/fXl9WVtbF3t4+XSlV98WpBEEQBKGJotVqtdnZ2Tfz8/PvAnAC4A/gYERExIcWLto9I4qThZkwYUInAAsBdLN0WQRBEAShgVAAygAcB/CviIiIWxYuzz0jilMTYMKECa0B+AKouqS4IAiCIDR/CEA+gNSIiIjbli7M/SCKkyAIgiAIgpnIdC5BEARBEAQzEcVJEARBEATBTERxEgRBEARBMBNRnARBEARBEMxEFCdBEARBEAQz+f9iUx7D+DuqaQAAAABJRU5ErkJggg==\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "k_medoids = TimeSeriesKMedoids(\n",
    "    n_clusters=5,  # Number of desired centers\n",
    "    init_algorithm=\"forgy\",  # Center initialisation technique\n",
    "    max_iter=10,  # Maximum number of iterations for refinement on training set\n",
    "    metric=\"euclidean\",  # Distance metric. Use \"dtw\" for dynamic time warping\n",
    "    random_state=1,\n",
    ")\n",
    "\n",
    "k_medoids.fit(X_train)\n",
    "plot_cluster_algorithm(k_medoids, X_test, k_medoids.n_clusters)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
